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Finding the Fourth Proportional to 122,019.57, 182,999.49 and 50,942.80

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Solution

The fourth proportional to 122,019.57, 182,999.49 and 50,942.80 is: 76,401.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,019.57 : 182,999.49 = 50,942.80 : x
  2. Step 2: Convert to fraction form
    122,019.57/182,999.49 = 50,942.80/x
  3. Step 3: Cross multiply
    122,019.57x = 182,999.49 × 50,942.80
  4. Step 4: Simplify right side
    122,019.57x = 9,322,506,372.03
  5. Step 5: Solve for x
    x = 9,322,506,372.03/122,019.57
  6. Step 6: Final answer
    x = 76,401.73

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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.