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Finding the Fourth Proportional to 132,309.98, 198,468.22 and 38,818.70

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Solution

The fourth proportional to 132,309.98, 198,468.22 and 38,818.70 is: 58,229.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,309.98 : 198,468.22 = 38,818.70 : x
  2. Step 2: Convert to fraction form
    132,309.98/198,468.22 = 38,818.70/x
  3. Step 3: Cross multiply
    132,309.98x = 198,468.22 × 38,818.70
  4. Step 4: Simplify right side
    132,309.98x = 7,704,278,291.71
  5. Step 5: Solve for x
    x = 7,704,278,291.71/132,309.98
  6. Step 6: Final answer
    x = 58,229.00

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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.