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Finding the Fourth Proportional to 195,291, 269,488.82 and 109,235.03

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Solution

The fourth proportional to 195,291, 269,488.82 and 109,235.03 is: 150,737.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,291 : 269,488.82 = 109,235.03 : x
  2. Step 2: Convert to fraction form
    195,291/269,488.82 = 109,235.03/x
  3. Step 3: Cross multiply
    195,291x = 269,488.82 × 109,235.03
  4. Step 4: Simplify right side
    195,291x = 29,437,619,778.88
  5. Step 5: Solve for x
    x = 29,437,619,778.88/195,291
  6. Step 6: Final answer
    x = 150,737.21

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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.