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Finding the Fourth Proportional to 204,098.76, 281,662.38 and 123,541.02

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Solution

The fourth proportional to 204,098.76, 281,662.38 and 123,541.02 is: 170,490.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,098.76 : 281,662.38 = 123,541.02 : x
  2. Step 2: Convert to fraction form
    204,098.76/281,662.38 = 123,541.02/x
  3. Step 3: Cross multiply
    204,098.76x = 281,662.38 × 123,541.02
  4. Step 4: Simplify right side
    204,098.76x = 34,796,857,720.83
  5. Step 5: Solve for x
    x = 34,796,857,720.83/204,098.76
  6. Step 6: Final answer
    x = 170,490.29

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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.