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Finding the Fourth Proportional to 165,843.20, 248,401.92 and 137,619.20

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Solution

The fourth proportional to 165,843.20, 248,401.92 and 137,619.20 is: 206,127.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,843.20 : 248,401.92 = 137,619.20 : x
  2. Step 2: Convert to fraction form
    165,843.20/248,401.92 = 137,619.20/x
  3. Step 3: Cross multiply
    165,843.20x = 248,401.92 × 137,619.20
  4. Step 4: Simplify right side
    165,843.20x = 34,184,873,508.86
  5. Step 5: Solve for x
    x = 34,184,873,508.86/165,843.20
  6. Step 6: Final answer
    x = 206,127.68

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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.