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Finding the Fourth Proportional to 195,951.22, 294,057.90 and 71,292.22

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Solution

The fourth proportional to 195,951.22, 294,057.90 and 71,292.22 is: 106,986.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,951.22 : 294,057.90 = 71,292.22 : x
  2. Step 2: Convert to fraction form
    195,951.22/294,057.90 = 71,292.22/x
  3. Step 3: Cross multiply
    195,951.22x = 294,057.90 × 71,292.22
  4. Step 4: Simplify right side
    195,951.22x = 20,964,040,499.54
  5. Step 5: Solve for x
    x = 20,964,040,499.54/195,951.22
  6. Step 6: Final answer
    x = 106,986.02

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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.