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Finding the Fourth Proportional to 199,622, 275,478.36 and 110,198.64

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Solution

The fourth proportional to 199,622, 275,478.36 and 110,198.64 is: 152,074.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,622 : 275,478.36 = 110,198.64 : x
  2. Step 2: Convert to fraction form
    199,622/275,478.36 = 110,198.64/x
  3. Step 3: Cross multiply
    199,622x = 275,478.36 × 110,198.64
  4. Step 4: Simplify right side
    199,622x = 30,357,340,621.43
  5. Step 5: Solve for x
    x = 30,357,340,621.43/199,622
  6. Step 6: Final answer
    x = 152,074.12

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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.