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Finding the Fourth Proportional to 256,540.40, 354,023.39 and 141,822.02

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Solution

The fourth proportional to 256,540.40, 354,023.39 and 141,822.02 is: 195,713.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,540.40 : 354,023.39 = 141,822.02 : x
  2. Step 2: Convert to fraction form
    256,540.40/354,023.39 = 141,822.02/x
  3. Step 3: Cross multiply
    256,540.40x = 354,023.39 × 141,822.02
  4. Step 4: Simplify right side
    256,540.40x = 50,208,313,536.66
  5. Step 5: Solve for x
    x = 50,208,313,536.66/256,540.40
  6. Step 6: Final answer
    x = 195,713.09

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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.