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Finding the Fourth Proportional to 165,910.80, 248,982.84 and 150,047.76

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Solution

The fourth proportional to 165,910.80, 248,982.84 and 150,047.76 is: 225,177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,910.80 : 248,982.84 = 150,047.76 : x
  2. Step 2: Convert to fraction form
    165,910.80/248,982.84 = 150,047.76/x
  3. Step 3: Cross multiply
    165,910.80x = 248,982.84 × 150,047.76
  4. Step 4: Simplify right side
    165,910.80x = 37,359,317,420.44
  5. Step 5: Solve for x
    x = 37,359,317,420.44/165,910.80
  6. Step 6: Final answer
    x = 225,177.13

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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.