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Finding the Fourth Proportional to 126,850.62, 190,224.90 and 82,410.78

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Solution

The fourth proportional to 126,850.62, 190,224.90 and 82,410.78 is: 123,583.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,850.62 : 190,224.90 = 82,410.78 : x
  2. Step 2: Convert to fraction form
    126,850.62/190,224.90 = 82,410.78/x
  3. Step 3: Cross multiply
    126,850.62x = 190,224.90 × 82,410.78
  4. Step 4: Simplify right side
    126,850.62x = 15,676,582,384.42
  5. Step 5: Solve for x
    x = 15,676,582,384.42/126,850.62
  6. Step 6: Final answer
    x = 123,583.02

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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.