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Finding the Fourth Proportional to 221,736.38, 305,996.22 and 119,761.83

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Solution

The fourth proportional to 221,736.38, 305,996.22 and 119,761.83 is: 165,271.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,736.38 : 305,996.22 = 119,761.83 : x
  2. Step 2: Convert to fraction form
    221,736.38/305,996.22 = 119,761.83/x
  3. Step 3: Cross multiply
    221,736.38x = 305,996.22 × 119,761.83
  4. Step 4: Simplify right side
    221,736.38x = 36,646,667,280.28
  5. Step 5: Solve for x
    x = 36,646,667,280.28/221,736.38
  6. Step 6: Final answer
    x = 165,271.34

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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.