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Finding the Fourth Proportional to 150,198.87, 207,273.42 and 86,535.30

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Solution

The fourth proportional to 150,198.87, 207,273.42 and 86,535.30 is: 119,418.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,198.87 : 207,273.42 = 86,535.30 : x
  2. Step 2: Convert to fraction form
    150,198.87/207,273.42 = 86,535.30/x
  3. Step 3: Cross multiply
    150,198.87x = 207,273.42 × 86,535.30
  4. Step 4: Simplify right side
    150,198.87x = 17,936,467,581.73
  5. Step 5: Solve for x
    x = 17,936,467,581.73/150,198.87
  6. Step 6: Final answer
    x = 119,418.13

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1.5x scale

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.