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Finding the Fourth Proportional to 120,825.95, 166,745.34 and 67,111.20

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Solution

The fourth proportional to 120,825.95, 166,745.34 and 67,111.20 is: 92,616.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,825.95 : 166,745.34 = 67,111.20 : x
  2. Step 2: Convert to fraction form
    120,825.95/166,745.34 = 67,111.20/x
  3. Step 3: Cross multiply
    120,825.95x = 166,745.34 × 67,111.20
  4. Step 4: Simplify right side
    120,825.95x = 11,190,479,861.81
  5. Step 5: Solve for x
    x = 11,190,479,861.81/120,825.95
  6. Step 6: Final answer
    x = 92,616.53

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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.