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Finding the Fourth Proportional to 225,823.26, 311,619.15 and 123,832.38

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Solution

The fourth proportional to 225,823.26, 311,619.15 and 123,832.38 is: 170,879.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,823.26 : 311,619.15 = 123,832.38 : x
  2. Step 2: Convert to fraction form
    225,823.26/311,619.15 = 123,832.38/x
  3. Step 3: Cross multiply
    225,823.26x = 311,619.15 × 123,832.38
  4. Step 4: Simplify right side
    225,823.26x = 38,588,540,998.08
  5. Step 5: Solve for x
    x = 38,588,540,998.08/225,823.26
  6. Step 6: Final answer
    x = 170,879.39

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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.