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Finding the Fourth Proportional to 281,584.97, 422,378.85 and 71,223.11

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Solution

The fourth proportional to 281,584.97, 422,378.85 and 71,223.11 is: 106,835.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,584.97 : 422,378.85 = 71,223.11 : x
  2. Step 2: Convert to fraction form
    281,584.97/422,378.85 = 71,223.11/x
  3. Step 3: Cross multiply
    281,584.97x = 422,378.85 × 71,223.11
  4. Step 4: Simplify right side
    281,584.97x = 30,083,133,183.33
  5. Step 5: Solve for x
    x = 30,083,133,183.33/281,584.97
  6. Step 6: Final answer
    x = 106,835.01

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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.