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Finding the Fourth Proportional to 100,108.75, 150,165 and 46,786.09

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Solution

The fourth proportional to 100,108.75, 150,165 and 46,786.09 is: 70,180.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,108.75 : 150,165 = 46,786.09 : x
  2. Step 2: Convert to fraction form
    100,108.75/150,165 = 46,786.09/x
  3. Step 3: Cross multiply
    100,108.75x = 150,165 × 46,786.09
  4. Step 4: Simplify right side
    100,108.75x = 7,025,633,204.85
  5. Step 5: Solve for x
    x = 7,025,633,204.85/100,108.75
  6. Step 6: Final answer
    x = 70,180.01

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