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Finding the Fourth Proportional to 337,126.80, 505,034.10 and 187,098.60

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Solution

The fourth proportional to 337,126.80, 505,034.10 and 187,098.60 is: 280,283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,126.80 : 505,034.10 = 187,098.60 : x
  2. Step 2: Convert to fraction form
    337,126.80/505,034.10 = 187,098.60/x
  3. Step 3: Cross multiply
    337,126.80x = 505,034.10 × 187,098.60
  4. Step 4: Simplify right side
    337,126.80x = 94,491,173,062.26
  5. Step 5: Solve for x
    x = 94,491,173,062.26/337,126.80
  6. Step 6: Final answer
    x = 280,283.78

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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.