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Finding the Fourth Proportional to 198,692.45, 274,202.79 and 113,825.91

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Solution

The fourth proportional to 198,692.45, 274,202.79 and 113,825.91 is: 157,083.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,692.45 : 274,202.79 = 113,825.91 : x
  2. Step 2: Convert to fraction form
    198,692.45/274,202.79 = 113,825.91/x
  3. Step 3: Cross multiply
    198,692.45x = 274,202.79 × 113,825.91
  4. Step 4: Simplify right side
    198,692.45x = 31,211,382,096.29
  5. Step 5: Solve for x
    x = 31,211,382,096.29/198,692.45
  6. Step 6: Final answer
    x = 157,083.89

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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.