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Finding the Fourth Proportional to 231,441.86, 319,374.70 and 129,449.65

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Solution

The fourth proportional to 231,441.86, 319,374.70 and 129,449.65 is: 178,632.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,441.86 : 319,374.70 = 129,449.65 : x
  2. Step 2: Convert to fraction form
    231,441.86/319,374.70 = 129,449.65/x
  3. Step 3: Cross multiply
    231,441.86x = 319,374.70 × 129,449.65
  4. Step 4: Simplify right side
    231,441.86x = 41,342,943,133.86
  5. Step 5: Solve for x
    x = 41,342,943,133.86/231,441.86
  6. Step 6: Final answer
    x = 178,632.09

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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.