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Finding the Fourth Proportional to 99,394.38, 137,164.85 and 54,072.78

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Solution

The fourth proportional to 99,394.38, 137,164.85 and 54,072.78 is: 74,620.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,394.38 : 137,164.85 = 54,072.78 : x
  2. Step 2: Convert to fraction form
    99,394.38/137,164.85 = 54,072.78/x
  3. Step 3: Cross multiply
    99,394.38x = 137,164.85 × 54,072.78
  4. Step 4: Simplify right side
    99,394.38x = 7,416,884,757.78
  5. Step 5: Solve for x
    x = 7,416,884,757.78/99,394.38
  6. Step 6: Final answer
    x = 74,620.77

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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.