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Finding the Fourth Proportional to 132,002.33, 198,101.90 and 53,117.24

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Solution

The fourth proportional to 132,002.33, 198,101.90 and 53,117.24 is: 79,715.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,002.33 : 198,101.90 = 53,117.24 : x
  2. Step 2: Convert to fraction form
    132,002.33/198,101.90 = 53,117.24/x
  3. Step 3: Cross multiply
    132,002.33x = 198,101.90 × 53,117.24
  4. Step 4: Simplify right side
    132,002.33x = 10,522,625,309.04
  5. Step 5: Solve for x
    x = 10,522,625,309.04/132,002.33
  6. Step 6: Final answer
    x = 79,715.45

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