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Finding the Fourth Proportional to 229,537.10, 344,305.92 and 71,766.38

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Solution

The fourth proportional to 229,537.10, 344,305.92 and 71,766.38 is: 107,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,537.10 : 344,305.92 = 71,766.38 : x
  2. Step 2: Convert to fraction form
    229,537.10/344,305.92 = 71,766.38/x
  3. Step 3: Cross multiply
    229,537.10x = 344,305.92 × 71,766.38
  4. Step 4: Simplify right side
    229,537.10x = 24,709,589,490.97
  5. Step 5: Solve for x
    x = 24,709,589,490.97/229,537.10
  6. Step 6: Final answer
    x = 107,649.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.