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Finding the Fourth Proportional to 198,632.72, 274,118.45 and 107,994.80

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Solution

The fourth proportional to 198,632.72, 274,118.45 and 107,994.80 is: 149,035.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,632.72 : 274,118.45 = 107,994.80 : x
  2. Step 2: Convert to fraction form
    198,632.72/274,118.45 = 107,994.80/x
  3. Step 3: Cross multiply
    198,632.72x = 274,118.45 × 107,994.80
  4. Step 4: Simplify right side
    198,632.72x = 29,603,367,329.38
  5. Step 5: Solve for x
    x = 29,603,367,329.38/198,632.72
  6. Step 6: Final answer
    x = 149,035.70

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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.