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Finding the Fourth Proportional to 204,074.38, 281,579.43 and 123,486.22

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Solution

The fourth proportional to 204,074.38, 281,579.43 and 123,486.22 is: 170,384.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,074.38 : 281,579.43 = 123,486.22 : x
  2. Step 2: Convert to fraction form
    204,074.38/281,579.43 = 123,486.22/x
  3. Step 3: Cross multiply
    204,074.38x = 281,579.43 × 123,486.22
  4. Step 4: Simplify right side
    204,074.38x = 34,771,179,440.45
  5. Step 5: Solve for x
    x = 34,771,179,440.45/204,074.38
  6. Step 6: Final answer
    x = 170,384.83

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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.