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Finding the Fourth Proportional to 147,863.14, 204,141.47 and 96,229.42

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Solution

The fourth proportional to 147,863.14, 204,141.47 and 96,229.42 is: 132,855.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,863.14 : 204,141.47 = 96,229.42 : x
  2. Step 2: Convert to fraction form
    147,863.14/204,141.47 = 96,229.42/x
  3. Step 3: Cross multiply
    147,863.14x = 204,141.47 × 96,229.42
  4. Step 4: Simplify right side
    147,863.14x = 19,644,414,264.55
  5. Step 5: Solve for x
    x = 19,644,414,264.55/147,863.14
  6. Step 6: Final answer
    x = 132,855.39

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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.