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Finding the Fourth Proportional to 281,524.16, 422,286.24 and 71,162.10

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Solution

The fourth proportional to 281,524.16, 422,286.24 and 71,162.10 is: 106,743.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,524.16 : 422,286.24 = 71,162.10 : x
  2. Step 2: Convert to fraction form
    281,524.16/422,286.24 = 71,162.10/x
  3. Step 3: Cross multiply
    281,524.16x = 422,286.24 × 71,162.10
  4. Step 4: Simplify right side
    281,524.16x = 30,050,773,922.50
  5. Step 5: Solve for x
    x = 30,050,773,922.50/281,524.16
  6. Step 6: Final answer
    x = 106,743.14

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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.