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Finding the Fourth Proportional to 99,842.17, 137,778.57 and 54,519.34

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Solution

The fourth proportional to 99,842.17, 137,778.57 and 54,519.34 is: 75,234.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,842.17 : 137,778.57 = 54,519.34 : x
  2. Step 2: Convert to fraction form
    99,842.17/137,778.57 = 54,519.34/x
  3. Step 3: Cross multiply
    99,842.17x = 137,778.57 × 54,519.34
  4. Step 4: Simplify right side
    99,842.17x = 7,511,596,702.54
  5. Step 5: Solve for x
    x = 7,511,596,702.54/99,842.17
  6. Step 6: Final answer
    x = 75,234.71

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