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Finding the Fourth Proportional to 192,734.98, 289,100.78 and 150,650.42

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Solution

The fourth proportional to 192,734.98, 289,100.78 and 150,650.42 is: 225,974.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,734.98 : 289,100.78 = 150,650.42 : x
  2. Step 2: Convert to fraction form
    192,734.98/289,100.78 = 150,650.42/x
  3. Step 3: Cross multiply
    192,734.98x = 289,100.78 × 150,650.42
  4. Step 4: Simplify right side
    192,734.98x = 43,553,153,929.33
  5. Step 5: Solve for x
    x = 43,553,153,929.33/192,734.98
  6. Step 6: Final answer
    x = 225,974.31

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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.