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Finding the Fourth Proportional to 227,224, 313,571.30 and 125,253.38

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Solution

The fourth proportional to 227,224, 313,571.30 and 125,253.38 is: 172,850.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,224 : 313,571.30 = 125,253.38 : x
  2. Step 2: Convert to fraction form
    227,224/313,571.30 = 125,253.38/x
  3. Step 3: Cross multiply
    227,224x = 313,571.30 × 125,253.38
  4. Step 4: Simplify right side
    227,224x = 39,275,865,195.99
  5. Step 5: Solve for x
    x = 39,275,865,195.99/227,224
  6. Step 6: Final answer
    x = 172,850.87

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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.