Source : Webster's Revised Unabridged Dictionary (1913)

Outbalance \Out*bal"ance\, v. t.
   To outweight; to exceed in weight or effect.

         Let dull Ajax bear away my right When all his days
         outbalance this one night.               --Dryden.

Source : WordNet®

outbalance
     v : weigh more heavily [syn: {preponderate}, {outweigh}, {overbalance}]