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Finding the Fourth Proportional to 132,478.38, 198,717.57 and 77,035.50

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Solution

The fourth proportional to 132,478.38, 198,717.57 and 77,035.50 is: 115,553.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,478.38 : 198,717.57 = 77,035.50 : x
  2. Step 2: Convert to fraction form
    132,478.38/198,717.57 = 77,035.50/x
  3. Step 3: Cross multiply
    132,478.38x = 198,717.57 × 77,035.50
  4. Step 4: Simplify right side
    132,478.38x = 15,308,307,363.74
  5. Step 5: Solve for x
    x = 15,308,307,363.74/132,478.38
  6. Step 6: Final answer
    x = 115,553.25

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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.