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Finding the Fourth Proportional to 132,414.30, 198,329.85 and 117,639.90

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Solution

The fourth proportional to 132,414.30, 198,329.85 and 117,639.90 is: 176,200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,414.30 : 198,329.85 = 117,639.90 : x
  2. Step 2: Convert to fraction form
    132,414.30/198,329.85 = 117,639.90/x
  3. Step 3: Cross multiply
    132,414.30x = 198,329.85 × 117,639.90
  4. Step 4: Simplify right side
    132,414.30x = 23,331,503,721.02
  5. Step 5: Solve for x
    x = 23,331,503,721.02/132,414.30
  6. Step 6: Final answer
    x = 176,200.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.