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Finding the Fourth Proportional to 225,478.25, 311,147.51 and 124,868.33

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Solution

The fourth proportional to 225,478.25, 311,147.51 and 124,868.33 is: 172,311.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,478.25 : 311,147.51 = 124,868.33 : x
  2. Step 2: Convert to fraction form
    225,478.25/311,147.51 = 124,868.33/x
  3. Step 3: Cross multiply
    225,478.25x = 311,147.51 × 124,868.33
  4. Step 4: Simplify right side
    225,478.25x = 38,852,469,333.02
  5. Step 5: Solve for x
    x = 38,852,469,333.02/225,478.25
  6. Step 6: Final answer
    x = 172,311.38

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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.