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Finding the Fourth Proportional to 165,763.98, 248,647.71 and 132,694.26

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Solution

The fourth proportional to 165,763.98, 248,647.71 and 132,694.26 is: 199,042.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,763.98 : 248,647.71 = 132,694.26 : x
  2. Step 2: Convert to fraction form
    165,763.98/248,647.71 = 132,694.26/x
  3. Step 3: Cross multiply
    165,763.98x = 248,647.71 × 132,694.26
  4. Step 4: Simplify right side
    165,763.98x = 32,994,124,811.57
  5. Step 5: Solve for x
    x = 32,994,124,811.57/165,763.98
  6. Step 6: Final answer
    x = 199,042.78

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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.