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Finding the Fourth Proportional to 179,161.72, 268,732.86 and 54,493

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Solution

The fourth proportional to 179,161.72, 268,732.86 and 54,493 is: 81,736.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,161.72 : 268,732.86 = 54,493 : x
  2. Step 2: Convert to fraction form
    179,161.72/268,732.86 = 54,493/x
  3. Step 3: Cross multiply
    179,161.72x = 268,732.86 × 54,493
  4. Step 4: Simplify right side
    179,161.72x = 14,644,059,739.98
  5. Step 5: Solve for x
    x = 14,644,059,739.98/179,161.72
  6. Step 6: Final answer
    x = 81,736.54

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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.