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Finding the Fourth Proportional to 227,463, 313,797.51 and 131,914.32

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Solution

The fourth proportional to 227,463, 313,797.51 and 131,914.32 is: 181,982.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,463 : 313,797.51 = 131,914.32 : x
  2. Step 2: Convert to fraction form
    227,463/313,797.51 = 131,914.32/x
  3. Step 3: Cross multiply
    227,463x = 313,797.51 × 131,914.32
  4. Step 4: Simplify right side
    227,463x = 41,394,385,149.34
  5. Step 5: Solve for x
    x = 41,394,385,149.34/227,463
  6. Step 6: Final answer
    x = 181,982.94

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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.