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Finding the Fourth Proportional to 208,580.23, 287,842.71 and 113,087.17

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Solution

The fourth proportional to 208,580.23, 287,842.71 and 113,087.17 is: 156,061.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,580.23 : 287,842.71 = 113,087.17 : x
  2. Step 2: Convert to fraction form
    208,580.23/287,842.71 = 113,087.17/x
  3. Step 3: Cross multiply
    208,580.23x = 287,842.71 × 113,087.17
  4. Step 4: Simplify right side
    208,580.23x = 32,551,317,479.03
  5. Step 5: Solve for x
    x = 32,551,317,479.03/208,580.23
  6. Step 6: Final answer
    x = 156,061.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.