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Finding the Fourth Proportional to 198,825.50, 274,379.19 and 109,401.50

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Solution

The fourth proportional to 198,825.50, 274,379.19 and 109,401.50 is: 150,974.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,825.50 : 274,379.19 = 109,401.50 : x
  2. Step 2: Convert to fraction form
    198,825.50/274,379.19 = 109,401.50/x
  3. Step 3: Cross multiply
    198,825.50x = 274,379.19 × 109,401.50
  4. Step 4: Simplify right side
    198,825.50x = 30,017,494,954.79
  5. Step 5: Solve for x
    x = 30,017,494,954.79/198,825.50
  6. Step 6: Final answer
    x = 150,974.07

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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.