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Finding the Fourth Proportional to 135,938.80, 203,713.80 and 100,120.60

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Solution

The fourth proportional to 135,938.80, 203,713.80 and 100,120.60 is: 150,037.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,938.80 : 203,713.80 = 100,120.60 : x
  2. Step 2: Convert to fraction form
    135,938.80/203,713.80 = 100,120.60/x
  3. Step 3: Cross multiply
    135,938.80x = 203,713.80 × 100,120.60
  4. Step 4: Simplify right side
    135,938.80x = 20,395,947,884.28
  5. Step 5: Solve for x
    x = 20,395,947,884.28/135,938.80
  6. Step 6: Final answer
    x = 150,037.72

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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.