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Finding the Fourth Proportional to 99,489.49, 137,294.67 and 54,167.38

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Solution

The fourth proportional to 99,489.49, 137,294.67 and 54,167.38 is: 74,750.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,489.49 : 137,294.67 = 54,167.38 : x
  2. Step 2: Convert to fraction form
    99,489.49/137,294.67 = 54,167.38/x
  3. Step 3: Cross multiply
    99,489.49x = 137,294.67 × 54,167.38
  4. Step 4: Simplify right side
    99,489.49x = 7,436,893,041.69
  5. Step 5: Solve for x
    x = 7,436,893,041.69/99,489.49
  6. Step 6: Final answer
    x = 74,750.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.