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Finding the Fourth Proportional to 256,604.20, 354,099.48 and 141,876.20

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Solution

The fourth proportional to 256,604.20, 354,099.48 and 141,876.20 is: 195,781.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,604.20 : 354,099.48 = 141,876.20 : x
  2. Step 2: Convert to fraction form
    256,604.20/354,099.48 = 141,876.20/x
  3. Step 3: Cross multiply
    256,604.20x = 354,099.48 × 141,876.20
  4. Step 4: Simplify right side
    256,604.20x = 50,238,288,644.38
  5. Step 5: Solve for x
    x = 50,238,288,644.38/256,604.20
  6. Step 6: Final answer
    x = 195,781.24

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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.