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Finding the Fourth Proportional to 100,282.38, 138,309.97 and 85,224.89

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Solution

The fourth proportional to 100,282.38, 138,309.97 and 85,224.89 is: 117,542.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,282.38 : 138,309.97 = 85,224.89 : x
  2. Step 2: Convert to fraction form
    100,282.38/138,309.97 = 85,224.89/x
  3. Step 3: Cross multiply
    100,282.38x = 138,309.97 × 85,224.89
  4. Step 4: Simplify right side
    100,282.38x = 11,787,451,633.38
  5. Step 5: Solve for x
    x = 11,787,451,633.38/100,282.38
  6. Step 6: Final answer
    x = 117,542.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.