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Finding the Fourth Proportional to 195,223.50, 269,408.62 and 105,799.50

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Solution

The fourth proportional to 195,223.50, 269,408.62 and 105,799.50 is: 146,003.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,223.50 : 269,408.62 = 105,799.50 : x
  2. Step 2: Convert to fraction form
    195,223.50/269,408.62 = 105,799.50/x
  3. Step 3: Cross multiply
    195,223.50x = 269,408.62 × 105,799.50
  4. Step 4: Simplify right side
    195,223.50x = 28,503,297,291.69
  5. Step 5: Solve for x
    x = 28,503,297,291.69/195,223.50
  6. Step 6: Final answer
    x = 146,003.41

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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.