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Finding the Fourth Proportional to 225,912.25, 338,648.05 and 107,551.81

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Solution

The fourth proportional to 225,912.25, 338,648.05 and 107,551.81 is: 161,222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,912.25 : 338,648.05 = 107,551.81 : x
  2. Step 2: Convert to fraction form
    225,912.25/338,648.05 = 107,551.81/x
  3. Step 3: Cross multiply
    225,912.25x = 338,648.05 × 107,551.81
  4. Step 4: Simplify right side
    225,912.25x = 36,422,208,499.47
  5. Step 5: Solve for x
    x = 36,422,208,499.47/225,912.25
  6. Step 6: Final answer
    x = 161,222.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.