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Finding the Fourth Proportional to 181,201.86, 271,805.63 and 54,843.48

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Solution

The fourth proportional to 181,201.86, 271,805.63 and 54,843.48 is: 82,266.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,201.86 : 271,805.63 = 54,843.48 : x
  2. Step 2: Convert to fraction form
    181,201.86/271,805.63 = 54,843.48/x
  3. Step 3: Cross multiply
    181,201.86x = 271,805.63 × 54,843.48
  4. Step 4: Simplify right side
    181,201.86x = 14,906,766,358.58
  5. Step 5: Solve for x
    x = 14,906,766,358.58/181,201.86
  6. Step 6: Final answer
    x = 82,266.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.