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Finding the Fourth Proportional to 133,993.20, 200,802.12 and 100,692

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Solution

The fourth proportional to 133,993.20, 200,802.12 and 100,692 is: 150,896.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,993.20 : 200,802.12 = 100,692 : x
  2. Step 2: Convert to fraction form
    133,993.20/200,802.12 = 100,692/x
  3. Step 3: Cross multiply
    133,993.20x = 200,802.12 × 100,692
  4. Step 4: Simplify right side
    133,993.20x = 20,219,167,067.04
  5. Step 5: Solve for x
    x = 20,219,167,067.04/133,993.20
  6. Step 6: Final answer
    x = 150,896.96

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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.