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Finding the Fourth Proportional to 321,593.17, 482,049.42 and 108,157.90

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Solution

The fourth proportional to 321,593.17, 482,049.42 and 108,157.90 is: 162,122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,593.17 : 482,049.42 = 108,157.90 : x
  2. Step 2: Convert to fraction form
    321,593.17/482,049.42 = 108,157.90/x
  3. Step 3: Cross multiply
    321,593.17x = 482,049.42 × 108,157.90
  4. Step 4: Simplify right side
    321,593.17x = 52,137,452,963.42
  5. Step 5: Solve for x
    x = 52,137,452,963.42/321,593.17
  6. Step 6: Final answer
    x = 162,122.39

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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.