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Finding the Fourth Proportional to 231,773.04, 347,659.56 and 149,191.92

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Solution

The fourth proportional to 231,773.04, 347,659.56 and 149,191.92 is: 223,787.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,773.04 : 347,659.56 = 149,191.92 : x
  2. Step 2: Convert to fraction form
    231,773.04/347,659.56 = 149,191.92/x
  3. Step 3: Cross multiply
    231,773.04x = 347,659.56 × 149,191.92
  4. Step 4: Simplify right side
    231,773.04x = 51,867,997,262.76
  5. Step 5: Solve for x
    x = 51,867,997,262.76/231,773.04
  6. Step 6: Final answer
    x = 223,787.88

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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.