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Finding the Fourth Proportional to 198,901.96, 274,480.38 and 108,255.66

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Solution

The fourth proportional to 198,901.96, 274,480.38 and 108,255.66 is: 149,390.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,901.96 : 274,480.38 = 108,255.66 : x
  2. Step 2: Convert to fraction form
    198,901.96/274,480.38 = 108,255.66/x
  3. Step 3: Cross multiply
    198,901.96x = 274,480.38 × 108,255.66
  4. Step 4: Simplify right side
    198,901.96x = 29,714,054,693.95
  5. Step 5: Solve for x
    x = 29,714,054,693.95/198,901.96
  6. Step 6: Final answer
    x = 149,390.46

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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.