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Finding the Fourth Proportional to 198,837, 274,395.06 and 109,413

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Solution

The fourth proportional to 198,837, 274,395.06 and 109,413 is: 150,989.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,837 : 274,395.06 = 109,413 : x
  2. Step 2: Convert to fraction form
    198,837/274,395.06 = 109,413/x
  3. Step 3: Cross multiply
    198,837x = 274,395.06 × 109,413
  4. Step 4: Simplify right side
    198,837x = 30,022,386,699.78
  5. Step 5: Solve for x
    x = 30,022,386,699.78/198,837
  6. Step 6: Final answer
    x = 150,989.94

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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.