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Finding the Fourth Proportional to 252,022.60, 378,471.30 and 133,924.60

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Solution

The fourth proportional to 252,022.60, 378,471.30 and 133,924.60 is: 201,119.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,022.60 : 378,471.30 = 133,924.60 : x
  2. Step 2: Convert to fraction form
    252,022.60/378,471.30 = 133,924.60/x
  3. Step 3: Cross multiply
    252,022.60x = 378,471.30 × 133,924.60
  4. Step 4: Simplify right side
    252,022.60x = 50,686,617,463.98
  5. Step 5: Solve for x
    x = 50,686,617,463.98/252,022.60
  6. Step 6: Final answer
    x = 201,119.33

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1.5x scale

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.