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Finding the Fourth Proportional to 204,097.76, 281,661 and 123,540.02

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Solution

The fourth proportional to 204,097.76, 281,661 and 123,540.02 is: 170,488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,097.76 : 281,661 = 123,540.02 : x
  2. Step 2: Convert to fraction form
    204,097.76/281,661 = 123,540.02/x
  3. Step 3: Cross multiply
    204,097.76x = 281,661 × 123,540.02
  4. Step 4: Simplify right side
    204,097.76x = 34,796,405,573.22
  5. Step 5: Solve for x
    x = 34,796,405,573.22/204,097.76
  6. Step 6: Final answer
    x = 170,488.91

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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.