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Finding the Fourth Proportional to 207,510.82, 311,044.49 and 148,166.58

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Solution

The fourth proportional to 207,510.82, 311,044.49 and 148,166.58 is: 222,091.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,510.82 : 311,044.49 = 148,166.58 : x
  2. Step 2: Convert to fraction form
    207,510.82/311,044.49 = 148,166.58/x
  3. Step 3: Cross multiply
    207,510.82x = 311,044.49 × 148,166.58
  4. Step 4: Simplify right side
    207,510.82x = 46,086,396,755.92
  5. Step 5: Solve for x
    x = 46,086,396,755.92/207,510.82
  6. Step 6: Final answer
    x = 222,091.54

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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.