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Finding the Fourth Proportional to 204,509.43, 306,616.52 and 86,116.17

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Solution

The fourth proportional to 204,509.43, 306,616.52 and 86,116.17 is: 129,112.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,509.43 : 306,616.52 = 86,116.17 : x
  2. Step 2: Convert to fraction form
    204,509.43/306,616.52 = 86,116.17/x
  3. Step 3: Cross multiply
    204,509.43x = 306,616.52 × 86,116.17
  4. Step 4: Simplify right side
    204,509.43x = 26,404,639,930.55
  5. Step 5: Solve for x
    x = 26,404,639,930.55/204,509.43
  6. Step 6: Final answer
    x = 129,112.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.