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Finding the Fourth Proportional to 132,006.74, 198,006.84 and 38,513.30

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Solution

The fourth proportional to 132,006.74, 198,006.84 and 38,513.30 is: 57,769.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,006.74 : 198,006.84 = 38,513.30 : x
  2. Step 2: Convert to fraction form
    132,006.74/198,006.84 = 38,513.30/x
  3. Step 3: Cross multiply
    132,006.74x = 198,006.84 × 38,513.30
  4. Step 4: Simplify right side
    132,006.74x = 7,625,896,830.97
  5. Step 5: Solve for x
    x = 7,625,896,830.97/132,006.74
  6. Step 6: Final answer
    x = 57,769.00

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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.