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Finding the Fourth Proportional to 337,717.76, 506,389.36 and 138,178.24

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Solution

The fourth proportional to 337,717.76, 506,389.36 and 138,178.24 is: 207,190.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,717.76 : 506,389.36 = 138,178.24 : x
  2. Step 2: Convert to fraction form
    337,717.76/506,389.36 = 138,178.24/x
  3. Step 3: Cross multiply
    337,717.76x = 506,389.36 × 138,178.24
  4. Step 4: Simplify right side
    337,717.76x = 69,971,990,519.53
  5. Step 5: Solve for x
    x = 69,971,990,519.53/337,717.76
  6. Step 6: Final answer
    x = 207,190.73

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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.