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Finding the Fourth Proportional to 198,553.76, 274,010.81 and 116,867.22

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Solution

The fourth proportional to 198,553.76, 274,010.81 and 116,867.22 is: 161,280.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,553.76 : 274,010.81 = 116,867.22 : x
  2. Step 2: Convert to fraction form
    198,553.76/274,010.81 = 116,867.22/x
  3. Step 3: Cross multiply
    198,553.76x = 274,010.81 × 116,867.22
  4. Step 4: Simplify right side
    198,553.76x = 32,022,879,660.26
  5. Step 5: Solve for x
    x = 32,022,879,660.26/198,553.76
  6. Step 6: Final answer
    x = 161,280.66

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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.