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Finding the Fourth Proportional to 120,365.46, 166,103.14 and 65,174.53

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Solution

The fourth proportional to 120,365.46, 166,103.14 and 65,174.53 is: 89,940.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,365.46 : 166,103.14 = 65,174.53 : x
  2. Step 2: Convert to fraction form
    120,365.46/166,103.14 = 65,174.53/x
  3. Step 3: Cross multiply
    120,365.46x = 166,103.14 × 65,174.53
  4. Step 4: Simplify right side
    120,365.46x = 10,825,694,081.02
  5. Step 5: Solve for x
    x = 10,825,694,081.02/120,365.46
  6. Step 6: Final answer
    x = 89,940.20

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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.