The Collaborative International Dictionary of English v.0.48:

Consequently \Con"se*quent*ly\, adv.
   By consequence; by natural or logical sequence or connection.

   Syn: See Accordingly.
        [1913 Webster]

WordNet (r) 3.0 (2006):

consequently
    adv 1: (sentence connectors) because of the reason given;
           "consequently, he didn't do it"; "continued to have
           severe headaches and accordingly returned to the doctor"
           [syn: consequently, accordingly]
    2: as a consequence; "he had good reason to be grateful for the
       opportunities which they had made available to him and which
       consequently led to the good position he now held" [syn:
       consequently, therefore]

Moby Thesaurus II by Grady Ward, 1.0:

50 Moby Thesaurus words for "consequently":
   according to circumstances, accordingly, and so, as a consequence,
   as a result, as it is, as matters stand, at that rate,
   because of that, because of this, equally, ergo, finally, for that,
   for that cause, for that reason, for this cause, for this reason,
   for which reason, hence, hereat, in that case, in that event,
   inconsequence, inevitably, it follows that, naturally,
   naturellement, necessarily, of course, of necessity,
   on that account, on that ground, on this account, propter hoc, so,
   that being so, then, thence, thereat, therefor, therefore,
   thereupon, thus, thusly, thuswise, under the circumstances, whence,
   wherefore, wherefrom