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Finding the Fourth Proportional to 100,704.67, 150,765.40 and 75,849.41

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Solution

The fourth proportional to 100,704.67, 150,765.40 and 75,849.41 is: 113,554.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,704.67 : 150,765.40 = 75,849.41 : x
  2. Step 2: Convert to fraction form
    100,704.67/150,765.40 = 75,849.41/x
  3. Step 3: Cross multiply
    100,704.67x = 150,765.40 × 75,849.41
  4. Step 4: Simplify right side
    100,704.67x = 11,435,467,110.14
  5. Step 5: Solve for x
    x = 11,435,467,110.14/100,704.67
  6. Step 6: Final answer
    x = 113,554.49

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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.