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Finding the Fourth Proportional to 181,991.94, 273,017.96 and 82,149.92

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Solution

The fourth proportional to 181,991.94, 273,017.96 and 82,149.92 is: 123,238.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,991.94 : 273,017.96 = 82,149.92 : x
  2. Step 2: Convert to fraction form
    181,991.94/273,017.96 = 82,149.92/x
  3. Step 3: Cross multiply
    181,991.94x = 273,017.96 × 82,149.92
  4. Step 4: Simplify right side
    181,991.94x = 22,428,403,572.56
  5. Step 5: Solve for x
    x = 22,428,403,572.56/181,991.94
  6. Step 6: Final answer
    x = 123,238.44

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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.