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Finding the Fourth Proportional to 198,546.08, 274,057.44 and 127,118.48

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Solution

The fourth proportional to 198,546.08, 274,057.44 and 127,118.48 is: 175,464.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,546.08 : 274,057.44 = 127,118.48 : x
  2. Step 2: Convert to fraction form
    198,546.08/274,057.44 = 127,118.48/x
  3. Step 3: Cross multiply
    198,546.08x = 274,057.44 × 127,118.48
  4. Step 4: Simplify right side
    198,546.08x = 34,837,765,205.49
  5. Step 5: Solve for x
    x = 34,837,765,205.49/198,546.08
  6. Step 6: Final answer
    x = 175,464.38

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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.