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Finding the Fourth Proportional to 204,635.46, 282,359.46 and 113,989.17

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Solution

The fourth proportional to 204,635.46, 282,359.46 and 113,989.17 is: 157,284.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,635.46 : 282,359.46 = 113,989.17 : x
  2. Step 2: Convert to fraction form
    204,635.46/282,359.46 = 113,989.17/x
  3. Step 3: Cross multiply
    204,635.46x = 282,359.46 × 113,989.17
  4. Step 4: Simplify right side
    204,635.46x = 32,185,920,487.05
  5. Step 5: Solve for x
    x = 32,185,920,487.05/204,635.46
  6. Step 6: Final answer
    x = 157,284.18

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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.