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Finding the Fourth Proportional to 206,824.76, 310,238.46 and 113,279.48

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Solution

The fourth proportional to 206,824.76, 310,238.46 and 113,279.48 is: 169,919.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,824.76 : 310,238.46 = 113,279.48 : x
  2. Step 2: Convert to fraction form
    206,824.76/310,238.46 = 113,279.48/x
  3. Step 3: Cross multiply
    206,824.76x = 310,238.46 × 113,279.48
  4. Step 4: Simplify right side
    206,824.76x = 35,143,651,424.80
  5. Step 5: Solve for x
    x = 35,143,651,424.80/206,824.76
  6. Step 6: Final answer
    x = 169,919.94

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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.