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Finding the Fourth Proportional to 198,577.82, 274,039.23 and 107,934

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Solution

The fourth proportional to 198,577.82, 274,039.23 and 107,934 is: 148,949.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,577.82 : 274,039.23 = 107,934 : x
  2. Step 2: Convert to fraction form
    198,577.82/274,039.23 = 107,934/x
  3. Step 3: Cross multiply
    198,577.82x = 274,039.23 × 107,934
  4. Step 4: Simplify right side
    198,577.82x = 29,578,150,250.82
  5. Step 5: Solve for x
    x = 29,578,150,250.82/198,577.82
  6. Step 6: Final answer
    x = 148,949.92

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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.