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Finding the Fourth Proportional to 256,067.91, 353,371.77 and 148,647.96

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Solution

The fourth proportional to 256,067.91, 353,371.77 and 148,647.96 is: 205,133.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,067.91 : 353,371.77 = 148,647.96 : x
  2. Step 2: Convert to fraction form
    256,067.91/353,371.77 = 148,647.96/x
  3. Step 3: Cross multiply
    256,067.91x = 353,371.77 × 148,647.96
  4. Step 4: Simplify right side
    256,067.91x = 52,527,992,732.09
  5. Step 5: Solve for x
    x = 52,527,992,732.09/256,067.91
  6. Step 6: Final answer
    x = 205,133.06

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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.