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Finding the Fourth Proportional to 204,443.97, 282,126.39 and 113,797.60

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Solution

The fourth proportional to 204,443.97, 282,126.39 and 113,797.60 is: 157,037.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,443.97 : 282,126.39 = 113,797.60 : x
  2. Step 2: Convert to fraction form
    204,443.97/282,126.39 = 113,797.60/x
  3. Step 3: Cross multiply
    204,443.97x = 282,126.39 × 113,797.60
  4. Step 4: Simplify right side
    204,443.97x = 32,105,306,078.66
  5. Step 5: Solve for x
    x = 32,105,306,078.66/204,443.97
  6. Step 6: Final answer
    x = 157,037.19

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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.