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Finding the Fourth Proportional to 222,836.16, 334,306.56 and 75,092.16

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Solution

The fourth proportional to 222,836.16, 334,306.56 and 75,092.16 is: 112,655.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,836.16 : 334,306.56 = 75,092.16 : x
  2. Step 2: Convert to fraction form
    222,836.16/334,306.56 = 75,092.16/x
  3. Step 3: Cross multiply
    222,836.16x = 334,306.56 × 75,092.16
  4. Step 4: Simplify right side
    222,836.16x = 25,103,801,692.57
  5. Step 5: Solve for x
    x = 25,103,801,692.57/222,836.16
  6. Step 6: Final answer
    x = 112,655.87

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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.