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Finding the Fourth Proportional to 120,825.90, 166,735.14 and 67,114.38

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Solution

The fourth proportional to 120,825.90, 166,735.14 and 67,114.38 is: 92,615.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,825.90 : 166,735.14 = 67,114.38 : x
  2. Step 2: Convert to fraction form
    120,825.90/166,735.14 = 67,114.38/x
  3. Step 3: Cross multiply
    120,825.90x = 166,735.14 × 67,114.38
  4. Step 4: Simplify right side
    120,825.90x = 11,190,325,545.31
  5. Step 5: Solve for x
    x = 11,190,325,545.31/120,825.90
  6. Step 6: Final answer
    x = 92,615.29

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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.