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Finding the Fourth Proportional to 199,069, 274,715.22 and 109,645

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Solution

The fourth proportional to 199,069, 274,715.22 and 109,645 is: 151,310.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,069 : 274,715.22 = 109,645 : x
  2. Step 2: Convert to fraction form
    199,069/274,715.22 = 109,645/x
  3. Step 3: Cross multiply
    199,069x = 274,715.22 × 109,645
  4. Step 4: Simplify right side
    199,069x = 30,121,150,296.90
  5. Step 5: Solve for x
    x = 30,121,150,296.90/199,069
  6. Step 6: Final answer
    x = 151,310.10

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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.