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Finding the Fourth Proportional to 206,714.20, 309,852.60 and 80,305.60

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Solution

The fourth proportional to 206,714.20, 309,852.60 and 80,305.60 is: 120,373.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,714.20 : 309,852.60 = 80,305.60 : x
  2. Step 2: Convert to fraction form
    206,714.20/309,852.60 = 80,305.60/x
  3. Step 3: Cross multiply
    206,714.20x = 309,852.60 × 80,305.60
  4. Step 4: Simplify right side
    206,714.20x = 24,882,898,954.56
  5. Step 5: Solve for x
    x = 24,882,898,954.56/206,714.20
  6. Step 6: Final answer
    x = 120,373.44

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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.