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Finding the Fourth Proportional to 206,523.41, 309,800.50 and 80,267.09

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Solution

The fourth proportional to 206,523.41, 309,800.50 and 80,267.09 is: 120,406.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,523.41 : 309,800.50 = 80,267.09 : x
  2. Step 2: Convert to fraction form
    206,523.41/309,800.50 = 80,267.09/x
  3. Step 3: Cross multiply
    206,523.41x = 309,800.50 × 80,267.09
  4. Step 4: Simplify right side
    206,523.41x = 24,866,782,865.87
  5. Step 5: Solve for x
    x = 24,866,782,865.87/206,523.41
  6. Step 6: Final answer
    x = 120,406.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.