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Finding the Fourth Proportional to 206,882.56, 310,323.37 and 55,079.68

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Solution

The fourth proportional to 206,882.56, 310,323.37 and 55,079.68 is: 82,619.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,882.56 : 310,323.37 = 55,079.68 : x
  2. Step 2: Convert to fraction form
    206,882.56/310,323.37 = 55,079.68/x
  3. Step 3: Cross multiply
    206,882.56x = 310,323.37 × 55,079.68
  4. Step 4: Simplify right side
    206,882.56x = 17,092,511,916.12
  5. Step 5: Solve for x
    x = 17,092,511,916.12/206,882.56
  6. Step 6: Final answer
    x = 82,619.39

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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.