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Finding the Fourth Proportional to 120,655.38, 166,512.30 and 69,670.26

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Solution

The fourth proportional to 120,655.38, 166,512.30 and 69,670.26 is: 96,149.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,655.38 : 166,512.30 = 69,670.26 : x
  2. Step 2: Convert to fraction form
    120,655.38/166,512.30 = 69,670.26/x
  3. Step 3: Cross multiply
    120,655.38x = 166,512.30 × 69,670.26
  4. Step 4: Simplify right side
    120,655.38x = 11,600,955,234.20
  5. Step 5: Solve for x
    x = 11,600,955,234.20/120,655.38
  6. Step 6: Final answer
    x = 96,149.51

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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.