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Finding the Fourth Proportional to 128,149.62, 192,202.56 and 34,633.50

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Solution

The fourth proportional to 128,149.62, 192,202.56 and 34,633.50 is: 51,944.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,149.62 : 192,202.56 = 34,633.50 : x
  2. Step 2: Convert to fraction form
    128,149.62/192,202.56 = 34,633.50/x
  3. Step 3: Cross multiply
    128,149.62x = 192,202.56 × 34,633.50
  4. Step 4: Simplify right side
    128,149.62x = 6,656,647,361.76
  5. Step 5: Solve for x
    x = 6,656,647,361.76/128,149.62
  6. Step 6: Final answer
    x = 51,944.34

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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.