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Finding the Fourth Proportional to 120,935.20, 166,883.42 and 67,218.38

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Solution

The fourth proportional to 120,935.20, 166,883.42 and 67,218.38 is: 92,757.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,935.20 : 166,883.42 = 67,218.38 : x
  2. Step 2: Convert to fraction form
    120,935.20/166,883.42 = 67,218.38/x
  3. Step 3: Cross multiply
    120,935.20x = 166,883.42 × 67,218.38
  4. Step 4: Simplify right side
    120,935.20x = 11,217,633,141.26
  5. Step 5: Solve for x
    x = 11,217,633,141.26/120,935.20
  6. Step 6: Final answer
    x = 92,757.39

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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.