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Finding the Fourth Proportional to 225,692.16, 311,293.44 and 149,122.56

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Solution

The fourth proportional to 225,692.16, 311,293.44 and 149,122.56 is: 205,682.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,692.16 : 311,293.44 = 149,122.56 : x
  2. Step 2: Convert to fraction form
    225,692.16/311,293.44 = 149,122.56/x
  3. Step 3: Cross multiply
    225,692.16x = 311,293.44 × 149,122.56
  4. Step 4: Simplify right side
    225,692.16x = 46,420,874,684.01
  5. Step 5: Solve for x
    x = 46,420,874,684.01/225,692.16
  6. Step 6: Final answer
    x = 205,682.27

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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.