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Finding the Fourth Proportional to 256,934, 354,568.92 and 143,778.62

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Solution

The fourth proportional to 256,934, 354,568.92 and 143,778.62 is: 198,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,934 : 354,568.92 = 143,778.62 : x
  2. Step 2: Convert to fraction form
    256,934/354,568.92 = 143,778.62/x
  3. Step 3: Cross multiply
    256,934x = 354,568.92 × 143,778.62
  4. Step 4: Simplify right side
    256,934x = 50,979,430,012.49
  5. Step 5: Solve for x
    x = 50,979,430,012.49/256,934
  6. Step 6: Final answer
    x = 198,414.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.