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Finding the Fourth Proportional to 132,305.52, 198,359.84 and 57,411.70

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Solution

The fourth proportional to 132,305.52, 198,359.84 and 57,411.70 is: 86,074.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,305.52 : 198,359.84 = 57,411.70 : x
  2. Step 2: Convert to fraction form
    132,305.52/198,359.84 = 57,411.70/x
  3. Step 3: Cross multiply
    132,305.52x = 198,359.84 × 57,411.70
  4. Step 4: Simplify right side
    132,305.52x = 11,388,175,626.13
  5. Step 5: Solve for x
    x = 11,388,175,626.13/132,305.52
  6. Step 6: Final answer
    x = 86,074.83

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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.