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Finding the Fourth Proportional to 229,105.80, 343,910.11 and 182,023.54

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Solution

The fourth proportional to 229,105.80, 343,910.11 and 182,023.54 is: 273,235.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,105.80 : 343,910.11 = 182,023.54 : x
  2. Step 2: Convert to fraction form
    229,105.80/343,910.11 = 182,023.54/x
  3. Step 3: Cross multiply
    229,105.80x = 343,910.11 × 182,023.54
  4. Step 4: Simplify right side
    229,105.80x = 62,599,735,663.99
  5. Step 5: Solve for x
    x = 62,599,735,663.99/229,105.80
  6. Step 6: Final answer
    x = 273,235.05

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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.