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Finding the Fourth Proportional to 198,998.52, 274,616.28 and 112,974

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Solution

The fourth proportional to 198,998.52, 274,616.28 and 112,974 is: 155,903.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,998.52 : 274,616.28 = 112,974 : x
  2. Step 2: Convert to fraction form
    198,998.52/274,616.28 = 112,974/x
  3. Step 3: Cross multiply
    198,998.52x = 274,616.28 × 112,974
  4. Step 4: Simplify right side
    198,998.52x = 31,024,499,616.72
  5. Step 5: Solve for x
    x = 31,024,499,616.72/198,998.52
  6. Step 6: Final answer
    x = 155,903.17

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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.