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Finding the Fourth Proportional to 231,757.20, 347,635.80 and 181,990.80

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Solution

The fourth proportional to 231,757.20, 347,635.80 and 181,990.80 is: 272,986.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,757.20 : 347,635.80 = 181,990.80 : x
  2. Step 2: Convert to fraction form
    231,757.20/347,635.80 = 181,990.80/x
  3. Step 3: Cross multiply
    231,757.20x = 347,635.80 × 181,990.80
  4. Step 4: Simplify right side
    231,757.20x = 63,266,517,350.64
  5. Step 5: Solve for x
    x = 63,266,517,350.64/231,757.20
  6. Step 6: Final answer
    x = 272,986.20

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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.