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Finding the Fourth Proportional to 173,033.10, 259,744.05 and 133,764.30

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Solution

The fourth proportional to 173,033.10, 259,744.05 and 133,764.30 is: 200,796.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,033.10 : 259,744.05 = 133,764.30 : x
  2. Step 2: Convert to fraction form
    173,033.10/259,744.05 = 133,764.30/x
  3. Step 3: Cross multiply
    173,033.10x = 259,744.05 × 133,764.30
  4. Step 4: Simplify right side
    173,033.10x = 34,744,481,027.42
  5. Step 5: Solve for x
    x = 34,744,481,027.42/173,033.10
  6. Step 6: Final answer
    x = 200,796.73

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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.