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Finding the Fourth Proportional to 204,231.62, 281,837.12 and 114,807.62

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Solution

The fourth proportional to 204,231.62, 281,837.12 and 114,807.62 is: 158,433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,231.62 : 281,837.12 = 114,807.62 : x
  2. Step 2: Convert to fraction form
    204,231.62/281,837.12 = 114,807.62/x
  3. Step 3: Cross multiply
    204,231.62x = 281,837.12 × 114,807.62
  4. Step 4: Simplify right side
    204,231.62x = 32,357,048,974.85
  5. Step 5: Solve for x
    x = 32,357,048,974.85/204,231.62
  6. Step 6: Final answer
    x = 158,433.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.