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Finding the Fourth Proportional to 132,374.52, 198,717.30 and 82,569.24

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Solution

The fourth proportional to 132,374.52, 198,717.30 and 82,569.24 is: 123,950.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,374.52 : 198,717.30 = 82,569.24 : x
  2. Step 2: Convert to fraction form
    132,374.52/198,717.30 = 82,569.24/x
  3. Step 3: Cross multiply
    132,374.52x = 198,717.30 × 82,569.24
  4. Step 4: Simplify right side
    132,374.52x = 16,407,936,435.85
  5. Step 5: Solve for x
    x = 16,407,936,435.85/132,374.52
  6. Step 6: Final answer
    x = 123,950.87

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Why These Related Problems?

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