Consequentially

1. adv. With assumed importance; pompously.
2. adv. With just deduction of consequence; with right connection of ideas; logically.
3. adv. By remote consequence; not immediately; eventually; as, to do a thing consequentially.
4. adv. In a regular series; in the order of cause and effect; with logical concatenation; consecutively; continuously.

The word meanings were obtained from OPTED(The Online Plain Text English Dictionary), which is based on “The Project Gutenberg Etext of Webster’s Unabridged Dictionary” which is in turn based on the 1913 US Webster’s Unabridged Dictionary (See Project Gutenburg), as a text file.