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Finding the Fourth Proportional to 327,701.87, 491,743.86 and 138,150.63

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Solution

The fourth proportional to 327,701.87, 491,743.86 and 138,150.63 is: 207,306.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,701.87 : 491,743.86 = 138,150.63 : x
  2. Step 2: Convert to fraction form
    327,701.87/491,743.86 = 138,150.63/x
  3. Step 3: Cross multiply
    327,701.87x = 491,743.86 × 138,150.63
  4. Step 4: Simplify right side
    327,701.87x = 67,934,724,057.63
  5. Step 5: Solve for x
    x = 67,934,724,057.63/327,701.87
  6. Step 6: Final answer
    x = 207,306.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.