Geometry Level 5

On triangle $$ABC$$, points $$D$$ and $$E$$ are chosen on line segments $$AB$$ and $$AC$$, respectively. The lines $$CD$$ and $$BE$$ intersect at $$K$$, within triangle $$ABC$$. If $$[DKB]=56, [BKC]=84$$ and $$[KEC]=90$$, what is $$[ADKE]$$?

Note: $$[PQRS]$$ denotes the area of the figure $$PQRS$$.

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