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Finding the Fourth Proportional to 120,958.24, 166,936.14 and 67,248.64

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Solution

The fourth proportional to 120,958.24, 166,936.14 and 67,248.64 is: 92,810.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,958.24 : 166,936.14 = 67,248.64 : x
  2. Step 2: Convert to fraction form
    120,958.24/166,936.14 = 67,248.64/x
  3. Step 3: Cross multiply
    120,958.24x = 166,936.14 × 67,248.64
  4. Step 4: Simplify right side
    120,958.24x = 11,226,228,381.85
  5. Step 5: Solve for x
    x = 11,226,228,381.85/120,958.24
  6. Step 6: Final answer
    x = 92,810.78

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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.