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Finding the Fourth Proportional to 206,626.30, 309,819.01 and 80,118.75

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Solution

The fourth proportional to 206,626.30, 309,819.01 and 80,118.75 is: 120,131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,626.30 : 309,819.01 = 80,118.75 : x
  2. Step 2: Convert to fraction form
    206,626.30/309,819.01 = 80,118.75/x
  3. Step 3: Cross multiply
    206,626.30x = 309,819.01 × 80,118.75
  4. Step 4: Simplify right side
    206,626.30x = 24,822,311,807.44
  5. Step 5: Solve for x
    x = 24,822,311,807.44/206,626.30
  6. Step 6: Final answer
    x = 120,131.42

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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.