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Finding the Fourth Proportional to 311,380.34, 467,136.12 and 101,001.88

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Solution

The fourth proportional to 311,380.34, 467,136.12 and 101,001.88 is: 151,524.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,380.34 : 467,136.12 = 101,001.88 : x
  2. Step 2: Convert to fraction form
    311,380.34/467,136.12 = 101,001.88/x
  3. Step 3: Cross multiply
    311,380.34x = 467,136.12 × 101,001.88
  4. Step 4: Simplify right side
    311,380.34x = 47,181,626,335.91
  5. Step 5: Solve for x
    x = 47,181,626,335.91/311,380.34
  6. Step 6: Final answer
    x = 151,524.10

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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.