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Finding the Fourth Proportional to 198,846.04, 274,419.36 and 113,968.56

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Solution

The fourth proportional to 198,846.04, 274,419.36 and 113,968.56 is: 157,283.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,846.04 : 274,419.36 = 113,968.56 : x
  2. Step 2: Convert to fraction form
    198,846.04/274,419.36 = 113,968.56/x
  3. Step 3: Cross multiply
    198,846.04x = 274,419.36 × 113,968.56
  4. Step 4: Simplify right side
    198,846.04x = 31,275,179,295.32
  5. Step 5: Solve for x
    x = 31,275,179,295.32/198,846.04
  6. Step 6: Final answer
    x = 157,283.39

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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.