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Finding the Fourth Proportional to 256,982.88, 354,738.36 and 174,215.88

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Solution

The fourth proportional to 256,982.88, 354,738.36 and 174,215.88 is: 240,487.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,982.88 : 354,738.36 = 174,215.88 : x
  2. Step 2: Convert to fraction form
    256,982.88/354,738.36 = 174,215.88/x
  3. Step 3: Cross multiply
    256,982.88x = 354,738.36 × 174,215.88
  4. Step 4: Simplify right side
    256,982.88x = 61,801,055,557.16
  5. Step 5: Solve for x
    x = 61,801,055,557.16/256,982.88
  6. Step 6: Final answer
    x = 240,487.05

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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.