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Finding the Fourth Proportional to 206,786.11, 310,180.80 and 113,240.83

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Solution

The fourth proportional to 206,786.11, 310,180.80 and 113,240.83 is: 169,862.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,786.11 : 310,180.80 = 113,240.83 : x
  2. Step 2: Convert to fraction form
    206,786.11/310,180.80 = 113,240.83/x
  3. Step 3: Cross multiply
    206,786.11x = 310,180.80 × 113,240.83
  4. Step 4: Simplify right side
    206,786.11x = 35,125,131,242.06
  5. Step 5: Solve for x
    x = 35,125,131,242.06/206,786.11
  6. Step 6: Final answer
    x = 169,862.14

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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.