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Finding the Fourth Proportional to 231,773.33, 347,713.92 and 71,840.78

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Solution

The fourth proportional to 231,773.33, 347,713.92 and 71,840.78 is: 107,777.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,773.33 : 347,713.92 = 71,840.78 : x
  2. Step 2: Convert to fraction form
    231,773.33/347,713.92 = 71,840.78/x
  3. Step 3: Cross multiply
    231,773.33x = 347,713.92 × 71,840.78
  4. Step 4: Simplify right side
    231,773.33x = 24,980,040,264.18
  5. Step 5: Solve for x
    x = 24,980,040,264.18/231,773.33
  6. Step 6: Final answer
    x = 107,777.89

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Why These Related Problems?

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