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Finding the Fourth Proportional to 256,187.97, 353,537.87 and 141,473.88

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Solution

The fourth proportional to 256,187.97, 353,537.87 and 141,473.88 is: 195,233.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,187.97 : 353,537.87 = 141,473.88 : x
  2. Step 2: Convert to fraction form
    256,187.97/353,537.87 = 141,473.88/x
  3. Step 3: Cross multiply
    256,187.97x = 353,537.87 × 141,473.88
  4. Step 4: Simplify right side
    256,187.97x = 50,016,373,488.47
  5. Step 5: Solve for x
    x = 50,016,373,488.47/256,187.97
  6. Step 6: Final answer
    x = 195,233.11

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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.