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Finding the Fourth Proportional to 231,443.86, 319,377.46 and 129,451.65

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Solution

The fourth proportional to 231,443.86, 319,377.46 and 129,451.65 is: 178,634.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,443.86 : 319,377.46 = 129,451.65 : x
  2. Step 2: Convert to fraction form
    231,443.86/319,377.46 = 129,451.65/x
  3. Step 3: Cross multiply
    231,443.86x = 319,377.46 × 129,451.65
  4. Step 4: Simplify right side
    231,443.86x = 41,343,939,169.81
  5. Step 5: Solve for x
    x = 41,343,939,169.81/231,443.86
  6. Step 6: Final answer
    x = 178,634.85

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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.