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Finding the Fourth Proportional to 204,467.20, 282,164.16 and 115,043.20

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Solution

The fourth proportional to 204,467.20, 282,164.16 and 115,043.20 is: 158,759.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,467.20 : 282,164.16 = 115,043.20 : x
  2. Step 2: Convert to fraction form
    204,467.20/282,164.16 = 115,043.20/x
  3. Step 3: Cross multiply
    204,467.20x = 282,164.16 × 115,043.20
  4. Step 4: Simplify right side
    204,467.20x = 32,461,067,891.71
  5. Step 5: Solve for x
    x = 32,461,067,891.71/204,467.20
  6. Step 6: Final answer
    x = 158,759.29

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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.