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Finding the Fourth Proportional to 208,522.38, 287,753.18 and 113,027.03

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Solution

The fourth proportional to 208,522.38, 287,753.18 and 113,027.03 is: 155,973.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,522.38 : 287,753.18 = 113,027.03 : x
  2. Step 2: Convert to fraction form
    208,522.38/287,753.18 = 113,027.03/x
  3. Step 3: Cross multiply
    208,522.38x = 287,753.18 × 113,027.03
  4. Step 4: Simplify right side
    208,522.38x = 32,523,885,304.55
  5. Step 5: Solve for x
    x = 32,523,885,304.55/208,522.38
  6. Step 6: Final answer
    x = 155,973.12

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Why These Related Problems?

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