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Finding the Fourth Proportional to 204,057.18, 281,736.12 and 182,479.80

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Solution

The fourth proportional to 204,057.18, 281,736.12 and 182,479.80 is: 251,944.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,057.18 : 281,736.12 = 182,479.80 : x
  2. Step 2: Convert to fraction form
    204,057.18/281,736.12 = 182,479.80/x
  3. Step 3: Cross multiply
    204,057.18x = 281,736.12 × 182,479.80
  4. Step 4: Simplify right side
    204,057.18x = 51,411,150,830.38
  5. Step 5: Solve for x
    x = 51,411,150,830.38/204,057.18
  6. Step 6: Final answer
    x = 251,944.83

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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.