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Finding the Fourth Proportional to 198,940, 274,537.20 and 109,516

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Solution

The fourth proportional to 198,940, 274,537.20 and 109,516 is: 151,132.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,940 : 274,537.20 = 109,516 : x
  2. Step 2: Convert to fraction form
    198,940/274,537.20 = 109,516/x
  3. Step 3: Cross multiply
    198,940x = 274,537.20 × 109,516
  4. Step 4: Simplify right side
    198,940x = 30,066,215,995.20
  5. Step 5: Solve for x
    x = 30,066,215,995.20/198,940
  6. Step 6: Final answer
    x = 151,132.08

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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.