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Finding the Fourth Proportional to 231,445.86, 319,380.22 and 129,453.65

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Solution

The fourth proportional to 231,445.86, 319,380.22 and 129,453.65 is: 178,637.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,445.86 : 319,380.22 = 129,453.65 : x
  2. Step 2: Convert to fraction form
    231,445.86/319,380.22 = 129,453.65/x
  3. Step 3: Cross multiply
    231,445.86x = 319,380.22 × 129,453.65
  4. Step 4: Simplify right side
    231,445.86x = 41,344,935,216.80
  5. Step 5: Solve for x
    x = 41,344,935,216.80/231,445.86
  6. Step 6: Final answer
    x = 178,637.61

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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.