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Finding the Fourth Proportional to 289,789.92, 400,081.68 and 182,451.96

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Solution

The fourth proportional to 289,789.92, 400,081.68 and 182,451.96 is: 251,891.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,789.92 : 400,081.68 = 182,451.96 : x
  2. Step 2: Convert to fraction form
    289,789.92/400,081.68 = 182,451.96/x
  3. Step 3: Cross multiply
    289,789.92x = 400,081.68 × 182,451.96
  4. Step 4: Simplify right side
    289,789.92x = 72,995,686,676.09
  5. Step 5: Solve for x
    x = 72,995,686,676.09/289,789.92
  6. Step 6: Final answer
    x = 251,891.74

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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.