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Finding the Fourth Proportional to 120,644.34, 181,016.17 and 41,813.92

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Solution

The fourth proportional to 120,644.34, 181,016.17 and 41,813.92 is: 62,738.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,644.34 : 181,016.17 = 41,813.92 : x
  2. Step 2: Convert to fraction form
    120,644.34/181,016.17 = 41,813.92/x
  3. Step 3: Cross multiply
    120,644.34x = 181,016.17 × 41,813.92
  4. Step 4: Simplify right side
    120,644.34x = 7,568,995,772.82
  5. Step 5: Solve for x
    x = 7,568,995,772.82/120,644.34
  6. Step 6: Final answer
    x = 62,738.09

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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.