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Finding the Fourth Proportional to 195,164.93, 269,401.93 and 127,198.44

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Solution

The fourth proportional to 195,164.93, 269,401.93 and 127,198.44 is: 175,582.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,164.93 : 269,401.93 = 127,198.44 : x
  2. Step 2: Convert to fraction form
    195,164.93/269,401.93 = 127,198.44/x
  3. Step 3: Cross multiply
    195,164.93x = 269,401.93 × 127,198.44
  4. Step 4: Simplify right side
    195,164.93x = 34,267,504,910.99
  5. Step 5: Solve for x
    x = 34,267,504,910.99/195,164.93
  6. Step 6: Final answer
    x = 175,582.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.