Consider that [] represents greatest integer function.
Find the value of `[(1)/(4)]+[(1)/(4)+(1)/(100)]+...+ [(1)/(4)+(99)/(100)]`.

Explanation

To solve the problem, we need to evaluate the expression:

\[ \left[\frac{1}{4}\right] + \left[\frac{1}{4} + \frac{1}{100}\right] + \left[\frac{1}{4} + \frac{2}{100}\right] + \ldots + \left[\frac{1}{4} + \frac{99}{100}\right] \]

### Step-by-Step Solution:

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