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Finding the Fourth Proportional to 269,057.67, 371,299.54 and 148,198.95

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Solution

The fourth proportional to 269,057.67, 371,299.54 and 148,198.95 is: 204,514.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,057.67 : 371,299.54 = 148,198.95 : x
  2. Step 2: Convert to fraction form
    269,057.67/371,299.54 = 148,198.95/x
  3. Step 3: Cross multiply
    269,057.67x = 371,299.54 × 148,198.95
  4. Step 4: Simplify right side
    269,057.67x = 55,026,200,409.77
  5. Step 5: Solve for x
    x = 55,026,200,409.77/269,057.67
  6. Step 6: Final answer
    x = 204,514.52

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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.