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Finding the Fourth Proportional to 403,753.28, 605,723.61 and 137,516.10

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Solution

The fourth proportional to 403,753.28, 605,723.61 and 137,516.10 is: 206,306.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,753.28 : 605,723.61 = 137,516.10 : x
  2. Step 2: Convert to fraction form
    403,753.28/605,723.61 = 137,516.10/x
  3. Step 3: Cross multiply
    403,753.28x = 605,723.61 × 137,516.10
  4. Step 4: Simplify right side
    403,753.28x = 83,296,748,525.12
  5. Step 5: Solve for x
    x = 83,296,748,525.12/403,753.28
  6. Step 6: Final answer
    x = 206,306.06

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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.