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Finding the Fourth Proportional to 165,692.25, 248,540.94 and 41,033.25

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Solution

The fourth proportional to 165,692.25, 248,540.94 and 41,033.25 is: 61,550.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,692.25 : 248,540.94 = 41,033.25 : x
  2. Step 2: Convert to fraction form
    165,692.25/248,540.94 = 41,033.25/x
  3. Step 3: Cross multiply
    165,692.25x = 248,540.94 × 41,033.25
  4. Step 4: Simplify right side
    165,692.25x = 10,198,442,526.26
  5. Step 5: Solve for x
    x = 10,198,442,526.26/165,692.25
  6. Step 6: Final answer
    x = 61,550.51

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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.