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Finding the Fourth Proportional to 165,768.20, 248,625.90 and 54,960.20

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Solution

The fourth proportional to 165,768.20, 248,625.90 and 54,960.20 is: 82,431.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,768.20 : 248,625.90 = 54,960.20 : x
  2. Step 2: Convert to fraction form
    165,768.20/248,625.90 = 54,960.20/x
  3. Step 3: Cross multiply
    165,768.20x = 248,625.90 × 54,960.20
  4. Step 4: Simplify right side
    165,768.20x = 13,664,529,189.18
  5. Step 5: Solve for x
    x = 13,664,529,189.18/165,768.20
  6. Step 6: Final answer
    x = 82,431.55

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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.