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Finding the Fourth Proportional to 132,532.73, 198,798.11 and 53,645.82

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Solution

The fourth proportional to 132,532.73, 198,798.11 and 53,645.82 is: 80,468.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,532.73 : 198,798.11 = 53,645.82 : x
  2. Step 2: Convert to fraction form
    132,532.73/198,798.11 = 53,645.82/x
  3. Step 3: Cross multiply
    132,532.73x = 198,798.11 × 53,645.82
  4. Step 4: Simplify right side
    132,532.73x = 10,664,687,625.40
  5. Step 5: Solve for x
    x = 10,664,687,625.40/132,532.73
  6. Step 6: Final answer
    x = 80,468.33

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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.