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Finding the Fourth Proportional to 132,382.59, 198,462.31 and 57,446.30

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Solution

The fourth proportional to 132,382.59, 198,462.31 and 57,446.30 is: 86,121.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,382.59 : 198,462.31 = 57,446.30 : x
  2. Step 2: Convert to fraction form
    132,382.59/198,462.31 = 57,446.30/x
  3. Step 3: Cross multiply
    132,382.59x = 198,462.31 × 57,446.30
  4. Step 4: Simplify right side
    132,382.59x = 11,400,924,389.11
  5. Step 5: Solve for x
    x = 11,400,924,389.11/132,382.59
  6. Step 6: Final answer
    x = 86,121.02

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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.