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Finding the Fourth Proportional to 150,195.97, 225,369.02 and 70,200.37

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Solution

The fourth proportional to 150,195.97, 225,369.02 and 70,200.37 is: 105,335.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,195.97 : 225,369.02 = 70,200.37 : x
  2. Step 2: Convert to fraction form
    150,195.97/225,369.02 = 70,200.37/x
  3. Step 3: Cross multiply
    150,195.97x = 225,369.02 × 70,200.37
  4. Step 4: Simplify right side
    150,195.97x = 15,820,988,590.54
  5. Step 5: Solve for x
    x = 15,820,988,590.54/150,195.97
  6. Step 6: Final answer
    x = 105,335.64

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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.