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Finding the Fourth Proportional to 281,523.44, 422,287.96 and 71,161.44

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Solution

The fourth proportional to 281,523.44, 422,287.96 and 71,161.44 is: 106,742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,523.44 : 422,287.96 = 71,161.44 : x
  2. Step 2: Convert to fraction form
    281,523.44/422,287.96 = 71,161.44/x
  3. Step 3: Cross multiply
    281,523.44x = 422,287.96 × 71,161.44
  4. Step 4: Simplify right side
    281,523.44x = 30,050,619,328.26
  5. Step 5: Solve for x
    x = 30,050,619,328.26/281,523.44
  6. Step 6: Final answer
    x = 106,742.87

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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.