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Finding the Fourth Proportional to 198,772.53, 274,313.31 and 113,906.01

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Solution

The fourth proportional to 198,772.53, 274,313.31 and 113,906.01 is: 157,194.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,772.53 : 274,313.31 = 113,906.01 : x
  2. Step 2: Convert to fraction form
    198,772.53/274,313.31 = 113,906.01/x
  3. Step 3: Cross multiply
    198,772.53x = 274,313.31 × 113,906.01
  4. Step 4: Simplify right side
    198,772.53x = 31,245,934,631.99
  5. Step 5: Solve for x
    x = 31,245,934,631.99/198,772.53
  6. Step 6: Final answer
    x = 157,194.43

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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.