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Finding the Fourth Proportional to 120,611.95, 166,335.54 and 75,294.12

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Solution

The fourth proportional to 120,611.95, 166,335.54 and 75,294.12 is: 103,837.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,611.95 : 166,335.54 = 75,294.12 : x
  2. Step 2: Convert to fraction form
    120,611.95/166,335.54 = 75,294.12/x
  3. Step 3: Cross multiply
    120,611.95x = 166,335.54 × 75,294.12
  4. Step 4: Simplify right side
    120,611.95x = 12,524,088,873.96
  5. Step 5: Solve for x
    x = 12,524,088,873.96/120,611.95
  6. Step 6: Final answer
    x = 103,837.87

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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.