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Finding the Fourth Proportional to 225,912.32, 311,754.24 and 125,309.44

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Solution

The fourth proportional to 225,912.32, 311,754.24 and 125,309.44 is: 172,924.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,912.32 : 311,754.24 = 125,309.44 : x
  2. Step 2: Convert to fraction form
    225,912.32/311,754.24 = 125,309.44/x
  3. Step 3: Cross multiply
    225,912.32x = 311,754.24 × 125,309.44
  4. Step 4: Simplify right side
    225,912.32x = 39,065,749,232.03
  5. Step 5: Solve for x
    x = 39,065,749,232.03/225,912.32
  6. Step 6: Final answer
    x = 172,924.39

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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.