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Finding the Fourth Proportional to 198,668.54, 274,166.00 and 108,025.11

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Solution

The fourth proportional to 198,668.54, 274,166.00 and 108,025.11 is: 149,076.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,668.54 : 274,166.00 = 108,025.11 : x
  2. Step 2: Convert to fraction form
    198,668.54/274,166.00 = 108,025.11/x
  3. Step 3: Cross multiply
    198,668.54x = 274,166.00 × 108,025.11
  4. Step 4: Simplify right side
    198,668.54x = 29,616,811,768.13
  5. Step 5: Solve for x
    x = 29,616,811,768.13/198,668.54
  6. Step 6: Final answer
    x = 149,076.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.