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Finding the Fourth Proportional to 225,996, 311,874.24 and 124,022.04

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Solution

The fourth proportional to 225,996, 311,874.24 and 124,022.04 is: 171,150.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,996 : 311,874.24 = 124,022.04 : x
  2. Step 2: Convert to fraction form
    225,996/311,874.24 = 124,022.04/x
  3. Step 3: Cross multiply
    225,996x = 311,874.24 × 124,022.04
  4. Step 4: Simplify right side
    225,996x = 38,679,279,468.25
  5. Step 5: Solve for x
    x = 38,679,279,468.25/225,996
  6. Step 6: Final answer
    x = 171,150.28

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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.