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Finding the Fourth Proportional to 199,415.21, 275,193.86 and 108,773.12

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Solution

The fourth proportional to 199,415.21, 275,193.86 and 108,773.12 is: 150,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,415.21 : 275,193.86 = 108,773.12 : x
  2. Step 2: Convert to fraction form
    199,415.21/275,193.86 = 108,773.12/x
  3. Step 3: Cross multiply
    199,415.21x = 275,193.86 × 108,773.12
  4. Step 4: Simplify right side
    199,415.21x = 29,933,694,901.16
  5. Step 5: Solve for x
    x = 29,933,694,901.16/199,415.21
  6. Step 6: Final answer
    x = 150,107.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.