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Finding the Fourth Proportional to 256,892.82, 354,512.75 and 142,179.36

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Solution

The fourth proportional to 256,892.82, 354,512.75 and 142,179.36 is: 196,207.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,892.82 : 354,512.75 = 142,179.36 : x
  2. Step 2: Convert to fraction form
    256,892.82/354,512.75 = 142,179.36/x
  3. Step 3: Cross multiply
    256,892.82x = 354,512.75 × 142,179.36
  4. Step 4: Simplify right side
    256,892.82x = 50,404,395,663.35
  5. Step 5: Solve for x
    x = 50,404,395,663.35/256,892.82
  6. Step 6: Final answer
    x = 196,207.88

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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.