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Finding the Fourth Proportional to 231,791.50, 347,805.90 and 110,349.48

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Solution

The fourth proportional to 231,791.50, 347,805.90 and 110,349.48 is: 165,580.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,791.50 : 347,805.90 = 110,349.48 : x
  2. Step 2: Convert to fraction form
    231,791.50/347,805.90 = 110,349.48/x
  3. Step 3: Cross multiply
    231,791.50x = 347,805.90 × 110,349.48
  4. Step 4: Simplify right side
    231,791.50x = 38,380,200,205.93
  5. Step 5: Solve for x
    x = 38,380,200,205.93/231,791.50
  6. Step 6: Final answer
    x = 165,580.71

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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.