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Finding the Fourth Proportional to 204,470.40, 282,162.24 and 115,029.12

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Solution

The fourth proportional to 204,470.40, 282,162.24 and 115,029.12 is: 158,736.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,470.40 : 282,162.24 = 115,029.12 : x
  2. Step 2: Convert to fraction form
    204,470.40/282,162.24 = 115,029.12/x
  3. Step 3: Cross multiply
    204,470.40x = 282,162.24 × 115,029.12
  4. Step 4: Simplify right side
    204,470.40x = 32,456,874,164.43
  5. Step 5: Solve for x
    x = 32,456,874,164.43/204,470.40
  6. Step 6: Final answer
    x = 158,736.30

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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.