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Finding the Fourth Proportional to 256,229.79, 353,570.13 and 148,778.79

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Solution

The fourth proportional to 256,229.79, 353,570.13 and 148,778.79 is: 205,299.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,229.79 : 353,570.13 = 148,778.79 : x
  2. Step 2: Convert to fraction form
    256,229.79/353,570.13 = 148,778.79/x
  3. Step 3: Cross multiply
    256,229.79x = 353,570.13 × 148,778.79
  4. Step 4: Simplify right side
    256,229.79x = 52,603,736,121.54
  5. Step 5: Solve for x
    x = 52,603,736,121.54/256,229.79
  6. Step 6: Final answer
    x = 205,299.06

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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.