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Finding the Fourth Proportional to 206,471.60, 309,630.60 and 81,786.80

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Solution

The fourth proportional to 206,471.60, 309,630.60 and 81,786.80 is: 122,649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,471.60 : 309,630.60 = 81,786.80 : x
  2. Step 2: Convert to fraction form
    206,471.60/309,630.60 = 81,786.80/x
  3. Step 3: Cross multiply
    206,471.60x = 309,630.60 × 81,786.80
  4. Step 4: Simplify right side
    206,471.60x = 25,323,695,956.08
  5. Step 5: Solve for x
    x = 25,323,695,956.08/206,471.60
  6. Step 6: Final answer
    x = 122,649.78

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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.