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Finding the Fourth Proportional to 120,022, 179,910.12 and 49,942

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Solution

The fourth proportional to 120,022, 179,910.12 and 49,942 is: 74,861.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,022 : 179,910.12 = 49,942 : x
  2. Step 2: Convert to fraction form
    120,022/179,910.12 = 49,942/x
  3. Step 3: Cross multiply
    120,022x = 179,910.12 × 49,942
  4. Step 4: Simplify right side
    120,022x = 8,985,071,213.04
  5. Step 5: Solve for x
    x = 8,985,071,213.04/120,022
  6. Step 6: Final answer
    x = 74,861.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.