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Finding the Fourth Proportional to 231,921.50, 320,052.87 and 129,947.15

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Solution

The fourth proportional to 231,921.50, 320,052.87 and 129,947.15 is: 179,327.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,921.50 : 320,052.87 = 129,947.15 : x
  2. Step 2: Convert to fraction form
    231,921.50/320,052.87 = 129,947.15/x
  3. Step 3: Cross multiply
    231,921.50x = 320,052.87 × 129,947.15
  4. Step 4: Simplify right side
    231,921.50x = 41,589,959,105.95
  5. Step 5: Solve for x
    x = 41,589,959,105.95/231,921.50
  6. Step 6: Final answer
    x = 179,327.75

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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.