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Finding the Fourth Proportional to 199,120.68, 274,782.78 and 108,478.44

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Solution

The fourth proportional to 199,120.68, 274,782.78 and 108,478.44 is: 149,698.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,120.68 : 274,782.78 = 108,478.44 : x
  2. Step 2: Convert to fraction form
    199,120.68/274,782.78 = 108,478.44/x
  3. Step 3: Cross multiply
    199,120.68x = 274,782.78 × 108,478.44
  4. Step 4: Simplify right side
    199,120.68x = 29,808,007,313.26
  5. Step 5: Solve for x
    x = 29,808,007,313.26/199,120.68
  6. Step 6: Final answer
    x = 149,698.20

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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.