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Finding the Fourth Proportional to 133,671.44, 200,820.74 and 126,105.64

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Solution

The fourth proportional to 133,671.44, 200,820.74 and 126,105.64 is: 189,454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,671.44 : 200,820.74 = 126,105.64 : x
  2. Step 2: Convert to fraction form
    133,671.44/200,820.74 = 126,105.64/x
  3. Step 3: Cross multiply
    133,671.44x = 200,820.74 × 126,105.64
  4. Step 4: Simplify right side
    133,671.44x = 25,324,627,942.97
  5. Step 5: Solve for x
    x = 25,324,627,942.97/133,671.44
  6. Step 6: Final answer
    x = 189,454.29

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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.