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Finding the Fourth Proportional to 225,967.56, 311,839.26 and 123,998.04

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Solution

The fourth proportional to 225,967.56, 311,839.26 and 123,998.04 is: 171,119.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,967.56 : 311,839.26 = 123,998.04 : x
  2. Step 2: Convert to fraction form
    225,967.56/311,839.26 = 123,998.04/x
  3. Step 3: Cross multiply
    225,967.56x = 311,839.26 × 123,998.04
  4. Step 4: Simplify right side
    225,967.56x = 38,667,457,035.05
  5. Step 5: Solve for x
    x = 38,667,457,035.05/225,967.56
  6. Step 6: Final answer
    x = 171,119.51

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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.