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Finding the Fourth Proportional to 296,073.65, 444,106.35 and 71,432.20

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Solution

The fourth proportional to 296,073.65, 444,106.35 and 71,432.20 is: 107,147.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,073.65 : 444,106.35 = 71,432.20 : x
  2. Step 2: Convert to fraction form
    296,073.65/444,106.35 = 71,432.20/x
  3. Step 3: Cross multiply
    296,073.65x = 444,106.35 × 71,432.20
  4. Step 4: Simplify right side
    296,073.65x = 31,723,493,793.05
  5. Step 5: Solve for x
    x = 31,723,493,793.05/296,073.65
  6. Step 6: Final answer
    x = 107,147.30

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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.