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Finding the Fourth Proportional to 256,958.20, 354,598.02 and 142,234.38

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Solution

The fourth proportional to 256,958.20, 354,598.02 and 142,234.38 is: 196,281.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,958.20 : 354,598.02 = 142,234.38 : x
  2. Step 2: Convert to fraction form
    256,958.20/354,598.02 = 142,234.38/x
  3. Step 3: Cross multiply
    256,958.20x = 354,598.02 × 142,234.38
  4. Step 4: Simplify right side
    256,958.20x = 50,436,029,523.93
  5. Step 5: Solve for x
    x = 50,436,029,523.93/256,958.20
  6. Step 6: Final answer
    x = 196,281.07

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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.