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Finding the Fourth Proportional to 198,817, 274,373.22 and 109,393

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Solution

The fourth proportional to 198,817, 274,373.22 and 109,393 is: 150,965.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,817 : 274,373.22 = 109,393 : x
  2. Step 2: Convert to fraction form
    198,817/274,373.22 = 109,393/x
  3. Step 3: Cross multiply
    198,817x = 274,373.22 × 109,393
  4. Step 4: Simplify right side
    198,817x = 30,014,509,655.46
  5. Step 5: Solve for x
    x = 30,014,509,655.46/198,817
  6. Step 6: Final answer
    x = 150,965.51

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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.