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Finding the Fourth Proportional to 120,213.84, 180,337.16 and 50,076.75

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Solution

The fourth proportional to 120,213.84, 180,337.16 and 50,076.75 is: 75,121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,213.84 : 180,337.16 = 50,076.75 : x
  2. Step 2: Convert to fraction form
    120,213.84/180,337.16 = 50,076.75/x
  3. Step 3: Cross multiply
    120,213.84x = 180,337.16 × 50,076.75
  4. Step 4: Simplify right side
    120,213.84x = 9,030,699,002.22
  5. Step 5: Solve for x
    x = 9,030,699,002.22/120,213.84
  6. Step 6: Final answer
    x = 75,121.96

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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.