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Finding the Fourth Proportional to 204,098.36, 281,436 and 127,589.54

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Solution

The fourth proportional to 204,098.36, 281,436 and 127,589.54 is: 175,936.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,098.36 : 281,436 = 127,589.54 : x
  2. Step 2: Convert to fraction form
    204,098.36/281,436 = 127,589.54/x
  3. Step 3: Cross multiply
    204,098.36x = 281,436 × 127,589.54
  4. Step 4: Simplify right side
    204,098.36x = 35,908,289,779.44
  5. Step 5: Solve for x
    x = 35,908,289,779.44/204,098.36
  6. Step 6: Final answer
    x = 175,936.20

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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.