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Finding the Fourth Proportional to 327,359.97, 491,159.89 and 137,868.03

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Solution

The fourth proportional to 327,359.97, 491,159.89 and 137,868.03 is: 206,852.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,359.97 : 491,159.89 = 137,868.03 : x
  2. Step 2: Convert to fraction form
    327,359.97/491,159.89 = 137,868.03/x
  3. Step 3: Cross multiply
    327,359.97x = 491,159.89 × 137,868.03
  4. Step 4: Simplify right side
    327,359.97x = 67,715,246,449.32
  5. Step 5: Solve for x
    x = 67,715,246,449.32/327,359.97
  6. Step 6: Final answer
    x = 206,852.56

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Why These Related Problems?

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