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Finding the Fourth Proportional to 225,937.24, 311,796.54 and 123,960.80

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Solution

The fourth proportional to 225,937.24, 311,796.54 and 123,960.80 is: 171,067.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,937.24 : 311,796.54 = 123,960.80 : x
  2. Step 2: Convert to fraction form
    225,937.24/311,796.54 = 123,960.80/x
  3. Step 3: Cross multiply
    225,937.24x = 311,796.54 × 123,960.80
  4. Step 4: Simplify right side
    225,937.24x = 38,650,549,315.12
  5. Step 5: Solve for x
    x = 38,650,549,315.12/225,937.24
  6. Step 6: Final answer
    x = 171,067.64

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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.