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Finding the Fourth Proportional to 198,643.75, 274,128.38 and 109,219.75

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Solution

The fourth proportional to 198,643.75, 274,128.38 and 109,219.75 is: 150,723.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,643.75 : 274,128.38 = 109,219.75 : x
  2. Step 2: Convert to fraction form
    198,643.75/274,128.38 = 109,219.75/x
  3. Step 3: Cross multiply
    198,643.75x = 274,128.38 × 109,219.75
  4. Step 4: Simplify right side
    198,643.75x = 29,940,233,131.51
  5. Step 5: Solve for x
    x = 29,940,233,131.51/198,643.75
  6. Step 6: Final answer
    x = 150,723.26

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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.