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Finding the Fourth Proportional to 83,202.98, 124,754.60 and 38,167.94

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Solution

The fourth proportional to 83,202.98, 124,754.60 and 38,167.94 is: 57,229.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,202.98 : 124,754.60 = 38,167.94 : x
  2. Step 2: Convert to fraction form
    83,202.98/124,754.60 = 38,167.94/x
  3. Step 3: Cross multiply
    83,202.98x = 124,754.60 × 38,167.94
  4. Step 4: Simplify right side
    83,202.98x = 4,761,626,087.52
  5. Step 5: Solve for x
    x = 4,761,626,087.52/83,202.98
  6. Step 6: Final answer
    x = 57,229.03

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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.