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Finding the Fourth Proportional to 281,522.52, 422,286.48 and 71,160.39

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Solution

The fourth proportional to 281,522.52, 422,286.48 and 71,160.39 is: 106,741.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,522.52 : 422,286.48 = 71,160.39 : x
  2. Step 2: Convert to fraction form
    281,522.52/422,286.48 = 71,160.39/x
  3. Step 3: Cross multiply
    281,522.52x = 422,286.48 × 71,160.39
  4. Step 4: Simplify right side
    281,522.52x = 30,050,070,608.53
  5. Step 5: Solve for x
    x = 30,050,070,608.53/281,522.52
  6. Step 6: Final answer
    x = 106,741.27

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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.