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Finding the Fourth Proportional to 192,380.36, 288,673.70 and 80,138.12

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Solution

The fourth proportional to 192,380.36, 288,673.70 and 80,138.12 is: 120,250.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,380.36 : 288,673.70 = 80,138.12 : x
  2. Step 2: Convert to fraction form
    192,380.36/288,673.70 = 80,138.12/x
  3. Step 3: Cross multiply
    192,380.36x = 288,673.70 × 80,138.12
  4. Step 4: Simplify right side
    192,380.36x = 23,133,767,611.44
  5. Step 5: Solve for x
    x = 23,133,767,611.44/192,380.36
  6. Step 6: Final answer
    x = 120,250.15

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Why These Related Problems?

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