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Finding the Fourth Proportional to 126,411.60, 189,836.10 and 82,234.20

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Solution

The fourth proportional to 126,411.60, 189,836.10 and 82,234.20 is: 123,493.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,411.60 : 189,836.10 = 82,234.20 : x
  2. Step 2: Convert to fraction form
    126,411.60/189,836.10 = 82,234.20/x
  3. Step 3: Cross multiply
    126,411.60x = 189,836.10 × 82,234.20
  4. Step 4: Simplify right side
    126,411.60x = 15,611,019,814.62
  5. Step 5: Solve for x
    x = 15,611,019,814.62/126,411.60
  6. Step 6: Final answer
    x = 123,493.57

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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.