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Finding the Fourth Proportional to 100,112.16, 150,242.22 and 80,625.90

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Solution

The fourth proportional to 100,112.16, 150,242.22 and 80,625.90 is: 120,998.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,112.16 : 150,242.22 = 80,625.90 : x
  2. Step 2: Convert to fraction form
    100,112.16/150,242.22 = 80,625.90/x
  3. Step 3: Cross multiply
    100,112.16x = 150,242.22 × 80,625.90
  4. Step 4: Simplify right side
    100,112.16x = 12,113,414,205.50
  5. Step 5: Solve for x
    x = 12,113,414,205.50/100,112.16
  6. Step 6: Final answer
    x = 120,998.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.