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Finding the Fourth Proportional to 165,397.82, 248,067.09 and 43,819.17

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Solution

The fourth proportional to 165,397.82, 248,067.09 and 43,819.17 is: 65,720.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,397.82 : 248,067.09 = 43,819.17 : x
  2. Step 2: Convert to fraction form
    165,397.82/248,067.09 = 43,819.17/x
  3. Step 3: Cross multiply
    165,397.82x = 248,067.09 × 43,819.17
  4. Step 4: Simplify right side
    165,397.82x = 10,870,093,988.12
  5. Step 5: Solve for x
    x = 10,870,093,988.12/165,397.82
  6. Step 6: Final answer
    x = 65,720.90

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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.