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Finding the Fourth Proportional to 120,926.20, 166,871 and 67,209.38

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Solution

The fourth proportional to 120,926.20, 166,871 and 67,209.38 is: 92,744.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,926.20 : 166,871 = 67,209.38 : x
  2. Step 2: Convert to fraction form
    120,926.20/166,871 = 67,209.38/x
  3. Step 3: Cross multiply
    120,926.20x = 166,871 × 67,209.38
  4. Step 4: Simplify right side
    120,926.20x = 11,215,296,449.98
  5. Step 5: Solve for x
    x = 11,215,296,449.98/120,926.20
  6. Step 6: Final answer
    x = 92,744.97

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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.