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Finding the Fourth Proportional to 205,381.43, 307,796.76 and 159,844.12

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Solution

The fourth proportional to 205,381.43, 307,796.76 and 159,844.12 is: 239,551.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,381.43 : 307,796.76 = 159,844.12 : x
  2. Step 2: Convert to fraction form
    205,381.43/307,796.76 = 159,844.12/x
  3. Step 3: Cross multiply
    205,381.43x = 307,796.76 × 159,844.12
  4. Step 4: Simplify right side
    205,381.43x = 49,199,501,471.56
  5. Step 5: Solve for x
    x = 49,199,501,471.56/205,381.43
  6. Step 6: Final answer
    x = 239,551.86

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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.