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Finding the Fourth Proportional to 204,049.14, 306,025.10 and 85,722.78

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Solution

The fourth proportional to 204,049.14, 306,025.10 and 85,722.78 is: 128,563.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,049.14 : 306,025.10 = 85,722.78 : x
  2. Step 2: Convert to fraction form
    204,049.14/306,025.10 = 85,722.78/x
  3. Step 3: Cross multiply
    204,049.14x = 306,025.10 × 85,722.78
  4. Step 4: Simplify right side
    204,049.14x = 26,233,322,321.78
  5. Step 5: Solve for x
    x = 26,233,322,321.78/204,049.14
  6. Step 6: Final answer
    x = 128,563.75

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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.