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Finding the Fourth Proportional to 204,540.64, 282,353.17 and 137,511.52

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Solution

The fourth proportional to 204,540.64, 282,353.17 and 137,511.52 is: 189,824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,540.64 : 282,353.17 = 137,511.52 : x
  2. Step 2: Convert to fraction form
    204,540.64/282,353.17 = 137,511.52/x
  3. Step 3: Cross multiply
    204,540.64x = 282,353.17 × 137,511.52
  4. Step 4: Simplify right side
    204,540.64x = 38,826,813,583.52
  5. Step 5: Solve for x
    x = 38,826,813,583.52/204,540.64
  6. Step 6: Final answer
    x = 189,824.45

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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.