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Finding the Fourth Proportional to 120,388.30, 166,163.50 and 80,103.76

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Solution

The fourth proportional to 120,388.30, 166,163.50 and 80,103.76 is: 110,561.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,388.30 : 166,163.50 = 80,103.76 : x
  2. Step 2: Convert to fraction form
    120,388.30/166,163.50 = 80,103.76/x
  3. Step 3: Cross multiply
    120,388.30x = 166,163.50 × 80,103.76
  4. Step 4: Simplify right side
    120,388.30x = 13,310,321,124.76
  5. Step 5: Solve for x
    x = 13,310,321,124.76/120,388.30
  6. Step 6: Final answer
    x = 110,561.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.