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Finding the Fourth Proportional to 203,982.30, 306,082.80 and 85,665.60

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Solution

The fourth proportional to 203,982.30, 306,082.80 and 85,665.60 is: 128,544.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,982.30 : 306,082.80 = 85,665.60 : x
  2. Step 2: Convert to fraction form
    203,982.30/306,082.80 = 85,665.60/x
  3. Step 3: Cross multiply
    203,982.30x = 306,082.80 × 85,665.60
  4. Step 4: Simplify right side
    203,982.30x = 26,220,766,711.68
  5. Step 5: Solve for x
    x = 26,220,766,711.68/203,982.30
  6. Step 6: Final answer
    x = 128,544.32

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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.