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Finding the Fourth Proportional to 198,796.14, 274,341.33 and 113,913

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Solution

The fourth proportional to 198,796.14, 274,341.33 and 113,913 is: 157,201.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,796.14 : 274,341.33 = 113,913 : x
  2. Step 2: Convert to fraction form
    198,796.14/274,341.33 = 113,913/x
  3. Step 3: Cross multiply
    198,796.14x = 274,341.33 × 113,913
  4. Step 4: Simplify right side
    198,796.14x = 31,251,043,924.29
  5. Step 5: Solve for x
    x = 31,251,043,924.29/198,796.14
  6. Step 6: Final answer
    x = 157,201.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.