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Finding the Fourth Proportional to 179,891.91, 269,790.82 and 53,498.09

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Solution

The fourth proportional to 179,891.91, 269,790.82 and 53,498.09 is: 80,233.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,891.91 : 269,790.82 = 53,498.09 : x
  2. Step 2: Convert to fraction form
    179,891.91/269,790.82 = 53,498.09/x
  3. Step 3: Cross multiply
    179,891.91x = 269,790.82 × 53,498.09
  4. Step 4: Simplify right side
    179,891.91x = 14,433,293,569.53
  5. Step 5: Solve for x
    x = 14,433,293,569.53/179,891.91
  6. Step 6: Final answer
    x = 80,233.14

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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.