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Finding the Fourth Proportional to 281,714.38, 422,572.25 and 82,039.61

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Solution

The fourth proportional to 281,714.38, 422,572.25 and 82,039.61 is: 123,059.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,714.38 : 422,572.25 = 82,039.61 : x
  2. Step 2: Convert to fraction form
    281,714.38/422,572.25 = 82,039.61/x
  3. Step 3: Cross multiply
    281,714.38x = 422,572.25 × 82,039.61
  4. Step 4: Simplify right side
    281,714.38x = 34,667,662,775.24
  5. Step 5: Solve for x
    x = 34,667,662,775.24/281,714.38
  6. Step 6: Final answer
    x = 123,059.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.