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Finding the Fourth Proportional to 327,681.43, 491,713.20 and 138,130.20

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Solution

The fourth proportional to 327,681.43, 491,713.20 and 138,130.20 is: 207,275.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,681.43 : 491,713.20 = 138,130.20 : x
  2. Step 2: Convert to fraction form
    327,681.43/491,713.20 = 138,130.20/x
  3. Step 3: Cross multiply
    327,681.43x = 491,713.20 × 138,130.20
  4. Step 4: Simplify right side
    327,681.43x = 67,920,442,658.64
  5. Step 5: Solve for x
    x = 67,920,442,658.64/327,681.43
  6. Step 6: Final answer
    x = 207,275.84

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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.