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Finding the Fourth Proportional to 203,902.30, 305,744.10 and 85,439.80

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Solution

The fourth proportional to 203,902.30, 305,744.10 and 85,439.80 is: 128,113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,902.30 : 305,744.10 = 85,439.80 : x
  2. Step 2: Convert to fraction form
    203,902.30/305,744.10 = 85,439.80/x
  3. Step 3: Cross multiply
    203,902.30x = 305,744.10 × 85,439.80
  4. Step 4: Simplify right side
    203,902.30x = 26,122,714,755.18
  5. Step 5: Solve for x
    x = 26,122,714,755.18/203,902.30
  6. Step 6: Final answer
    x = 128,113.88

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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.