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Finding the Fourth Proportional to 120,231.84, 180,364.20 and 50,094.78

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Solution

The fourth proportional to 120,231.84, 180,364.20 and 50,094.78 is: 75,149.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,231.84 : 180,364.20 = 50,094.78 : x
  2. Step 2: Convert to fraction form
    120,231.84/180,364.20 = 50,094.78/x
  3. Step 3: Cross multiply
    120,231.84x = 180,364.20 × 50,094.78
  4. Step 4: Simplify right side
    120,231.84x = 9,035,304,918.88
  5. Step 5: Solve for x
    x = 9,035,304,918.88/120,231.84
  6. Step 6: Final answer
    x = 75,149.02

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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.