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Finding the Fourth Proportional to 204,542.96, 282,212.52 and 131,915.12

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Solution

The fourth proportional to 204,542.96, 282,212.52 and 131,915.12 is: 182,006.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,542.96 : 282,212.52 = 131,915.12 : x
  2. Step 2: Convert to fraction form
    204,542.96/282,212.52 = 131,915.12/x
  3. Step 3: Cross multiply
    204,542.96x = 282,212.52 × 131,915.12
  4. Step 4: Simplify right side
    204,542.96x = 37,228,098,441.30
  5. Step 5: Solve for x
    x = 37,228,098,441.30/204,542.96
  6. Step 6: Final answer
    x = 182,006.26

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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.