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Finding the Fourth Proportional to 120,198.28, 165,886.02 and 69,212.92

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Solution

The fourth proportional to 120,198.28, 165,886.02 and 69,212.92 is: 95,520.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,198.28 : 165,886.02 = 69,212.92 : x
  2. Step 2: Convert to fraction form
    120,198.28/165,886.02 = 69,212.92/x
  3. Step 3: Cross multiply
    120,198.28x = 165,886.02 × 69,212.92
  4. Step 4: Simplify right side
    120,198.28x = 11,481,455,831.38
  5. Step 5: Solve for x
    x = 11,481,455,831.38/120,198.28
  6. Step 6: Final answer
    x = 95,520.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.