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Finding the Fourth Proportional to 225,974.22, 311,847.75 and 124,009.80

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Solution

The fourth proportional to 225,974.22, 311,847.75 and 124,009.80 is: 171,135.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,974.22 : 311,847.75 = 124,009.80 : x
  2. Step 2: Convert to fraction form
    225,974.22/311,847.75 = 124,009.80/x
  3. Step 3: Cross multiply
    225,974.22x = 311,847.75 × 124,009.80
  4. Step 4: Simplify right side
    225,974.22x = 38,672,177,107.95
  5. Step 5: Solve for x
    x = 38,672,177,107.95/225,974.22
  6. Step 6: Final answer
    x = 171,135.35

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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.