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Finding the Fourth Proportional to 198,593.63, 274,061.03 and 107,949.80

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Solution

The fourth proportional to 198,593.63, 274,061.03 and 107,949.80 is: 148,971.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,593.63 : 274,061.03 = 107,949.80 : x
  2. Step 2: Convert to fraction form
    198,593.63/274,061.03 = 107,949.80/x
  3. Step 3: Cross multiply
    198,593.63x = 274,061.03 × 107,949.80
  4. Step 4: Simplify right side
    198,593.63x = 29,584,831,466.24
  5. Step 5: Solve for x
    x = 29,584,831,466.24/198,593.63
  6. Step 6: Final answer
    x = 148,971.71

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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.