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Finding the Fourth Proportional to 132,131.52, 198,231.84 and 76,680

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Solution

The fourth proportional to 132,131.52, 198,231.84 and 76,680 is: 115,040.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,131.52 : 198,231.84 = 76,680 : x
  2. Step 2: Convert to fraction form
    132,131.52/198,231.84 = 76,680/x
  3. Step 3: Cross multiply
    132,131.52x = 198,231.84 × 76,680
  4. Step 4: Simplify right side
    132,131.52x = 15,200,417,491.20
  5. Step 5: Solve for x
    x = 15,200,417,491.20/132,131.52
  6. Step 6: Final answer
    x = 115,040.06

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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.