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Finding the Fourth Proportional to 256,906.68, 354,444.72 and 149,388.30

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Solution

The fourth proportional to 256,906.68, 354,444.72 and 149,388.30 is: 206,105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,906.68 : 354,444.72 = 149,388.30 : x
  2. Step 2: Convert to fraction form
    256,906.68/354,444.72 = 149,388.30/x
  3. Step 3: Cross multiply
    256,906.68x = 354,444.72 × 149,388.30
  4. Step 4: Simplify right side
    256,906.68x = 52,949,894,164.78
  5. Step 5: Solve for x
    x = 52,949,894,164.78/256,906.68
  6. Step 6: Final answer
    x = 206,105.56

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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.