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Finding the Fourth Proportional to 256,481.67, 353,963.01 and 141,757.84

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Solution

The fourth proportional to 256,481.67, 353,963.01 and 141,757.84 is: 195,635.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,481.67 : 353,963.01 = 141,757.84 : x
  2. Step 2: Convert to fraction form
    256,481.67/353,963.01 = 141,757.84/x
  3. Step 3: Cross multiply
    256,481.67x = 353,963.01 × 141,757.84
  4. Step 4: Simplify right side
    256,481.67x = 50,177,031,737.50
  5. Step 5: Solve for x
    x = 50,177,031,737.50/256,481.67
  6. Step 6: Final answer
    x = 195,635.94

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1.5x scale

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.