The Collaborative International Dictionary of English v.0.48:

Outrageous \Out*ra"geous\ (out*r[=a]"j[u^]s), a. [OF. outrageus,
   F. outrageux. See Outrage, n.]
   Of the nature of an outrage; exceeding the limits of right,
   reason, or decency; such as to cause outrage; involving or
   doing an outrage; furious; violent; atrocious. "Outrageous
   weeping." --Chaucer. "The most outrageous villainies." --Sir
   P. Sidney. "The vile, outrageous crimes." --Shak. "Outrageous
   panegyric." --Dryden.
   [1913 Webster]

   Syn: Violent; furious; exorbitant; excessive; atrocious;
        monstrous; wanton; nefarious; heinous.
        [1913 Webster] -- Out*ra"geous*ly
        (out*r[=a]"j[u^]s*l[y^]), adv. -- Out*ra"geous*ness,
        n.
        [1913 Webster]

WordNet (r) 3.0 (2006):

outrageously
    adv 1: in a very offensive manner; "he behaved outrageously"
    2: to an extravagant or immoderate degree; "atrociously
       expensive" [syn: outrageously, atrociously]

Moby Thesaurus II by Grady Ward, 1.0:

60 Moby Thesaurus words for "outrageously":
   abominably, atrociously, awfully, basely, bestially, brutally,
   contemptibly, deplorably, despicably, detestably, disgracefully,
   disgustingly, dreadful, dreadfully, egregiously, excessively,
   exorbitantly, extortionately, extravagantly, flagrantly, foully,
   fulsomely, gougingly, grossly, horribly, horridly, immoderately,
   infamously, inordinately, intemperately, loathsomely, nastily,
   nauseatingly, notoriously, obnoxiously, odiously, offensively,
   over, overly, overmuch, overweeningly, preposterously, savagely,
   scandalously, shabbily, shamefully, shockingly, something fierce,
   sordidly, terribly, too, too much, too-too, unconscionably, unduly,
   unreasonably, usuriously, viciously, vilely, wretchedly