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Finding the Fourth Proportional to 100,265.40, 150,392.56 and 33,698.66

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Solution

The fourth proportional to 100,265.40, 150,392.56 and 33,698.66 is: 50,546.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,265.40 : 150,392.56 = 33,698.66 : x
  2. Step 2: Convert to fraction form
    100,265.40/150,392.56 = 33,698.66/x
  3. Step 3: Cross multiply
    100,265.40x = 150,392.56 × 33,698.66
  4. Step 4: Simplify right side
    100,265.40x = 5,068,027,745.97
  5. Step 5: Solve for x
    x = 5,068,027,745.97/100,265.40
  6. Step 6: Final answer
    x = 50,546.13

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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.