Home / 205,917.38-284,163.80-115,274.09

Finding the Fourth Proportional to 205,917.38, 284,163.80 and 115,274.09

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Solution

The fourth proportional to 205,917.38, 284,163.80 and 115,274.09 is: 159,077.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,917.38 : 284,163.80 = 115,274.09 : x
  2. Step 2: Convert to fraction form
    205,917.38/284,163.80 = 115,274.09/x
  3. Step 3: Cross multiply
    205,917.38x = 284,163.80 × 115,274.09
  4. Step 4: Simplify right side
    205,917.38x = 32,756,723,589.98
  5. Step 5: Solve for x
    x = 32,756,723,589.98/205,917.38
  6. Step 6: Final answer
    x = 159,077.02

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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.