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Finding the Fourth Proportional to 204,679.20, 282,438 and 114,025.92

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Solution

The fourth proportional to 204,679.20, 282,438 and 114,025.92 is: 157,345.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,679.20 : 282,438 = 114,025.92 : x
  2. Step 2: Convert to fraction form
    204,679.20/282,438 = 114,025.92/x
  3. Step 3: Cross multiply
    204,679.20x = 282,438 × 114,025.92
  4. Step 4: Simplify right side
    204,679.20x = 32,205,252,792.96
  5. Step 5: Solve for x
    x = 32,205,252,792.96/204,679.20
  6. Step 6: Final answer
    x = 157,345.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.