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Finding the Fourth Proportional to 361,552.31, 542,158.48 and 133,690.49

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Solution

The fourth proportional to 361,552.31, 542,158.48 and 133,690.49 is: 200,472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,552.31 : 542,158.48 = 133,690.49 : x
  2. Step 2: Convert to fraction form
    361,552.31/542,158.48 = 133,690.49/x
  3. Step 3: Cross multiply
    361,552.31x = 542,158.48 × 133,690.49
  4. Step 4: Simplify right side
    361,552.31x = 72,481,434,204.25
  5. Step 5: Solve for x
    x = 72,481,434,204.25/361,552.31
  6. Step 6: Final answer
    x = 200,472.88

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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.