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Finding the Fourth Proportional to 206,805.22, 310,473.48 and 159,450.39

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Solution

The fourth proportional to 206,805.22, 310,473.48 and 159,450.39 is: 239,380.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,805.22 : 310,473.48 = 159,450.39 : x
  2. Step 2: Convert to fraction form
    206,805.22/310,473.48 = 159,450.39/x
  3. Step 3: Cross multiply
    206,805.22x = 310,473.48 × 159,450.39
  4. Step 4: Simplify right side
    206,805.22x = 49,505,117,620.14
  5. Step 5: Solve for x
    x = 49,505,117,620.14/206,805.22
  6. Step 6: Final answer
    x = 239,380.41

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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.