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Finding the Fourth Proportional to 231,760.76, 319,834.38 and 151,239.80

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Solution

The fourth proportional to 231,760.76, 319,834.38 and 151,239.80 is: 208,713.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,760.76 : 319,834.38 = 151,239.80 : x
  2. Step 2: Convert to fraction form
    231,760.76/319,834.38 = 151,239.80/x
  3. Step 3: Cross multiply
    231,760.76x = 319,834.38 × 151,239.80
  4. Step 4: Simplify right side
    231,760.76x = 48,371,687,664.32
  5. Step 5: Solve for x
    x = 48,371,687,664.32/231,760.76
  6. Step 6: Final answer
    x = 208,713.88

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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.