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Finding the Fourth Proportional to 256,982.38, 354,630.06 and 140,695.61

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Solution

The fourth proportional to 256,982.38, 354,630.06 and 140,695.61 is: 194,156.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,982.38 : 354,630.06 = 140,695.61 : x
  2. Step 2: Convert to fraction form
    256,982.38/354,630.06 = 140,695.61/x
  3. Step 3: Cross multiply
    256,982.38x = 354,630.06 × 140,695.61
  4. Step 4: Simplify right side
    256,982.38x = 49,894,890,842.89
  5. Step 5: Solve for x
    x = 49,894,890,842.89/256,982.38
  6. Step 6: Final answer
    x = 194,156.86

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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.