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Finding the Fourth Proportional to 133,232.61, 199,862.24 and 38,465.11

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Solution

The fourth proportional to 133,232.61, 199,862.24 and 38,465.11 is: 57,701.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,232.61 : 199,862.24 = 38,465.11 : x
  2. Step 2: Convert to fraction form
    133,232.61/199,862.24 = 38,465.11/x
  3. Step 3: Cross multiply
    133,232.61x = 199,862.24 × 38,465.11
  4. Step 4: Simplify right side
    133,232.61x = 7,687,723,103.95
  5. Step 5: Solve for x
    x = 7,687,723,103.95/133,232.61
  6. Step 6: Final answer
    x = 57,701.51

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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.