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Finding the Fourth Proportional to 132,310.36, 198,472.02 and 53,414.74

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Solution

The fourth proportional to 132,310.36, 198,472.02 and 53,414.74 is: 80,124.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,310.36 : 198,472.02 = 53,414.74 : x
  2. Step 2: Convert to fraction form
    132,310.36/198,472.02 = 53,414.74/x
  3. Step 3: Cross multiply
    132,310.36x = 198,472.02 × 53,414.74
  4. Step 4: Simplify right side
    132,310.36x = 10,601,331,345.57
  5. Step 5: Solve for x
    x = 10,601,331,345.57/132,310.36
  6. Step 6: Final answer
    x = 80,124.73

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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.