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Finding the Fourth Proportional to 150,605.92, 225,945.33 and 45,418.51

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Solution

The fourth proportional to 150,605.92, 225,945.33 and 45,418.51 is: 68,138.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,605.92 : 225,945.33 = 45,418.51 : x
  2. Step 2: Convert to fraction form
    150,605.92/225,945.33 = 45,418.51/x
  3. Step 3: Cross multiply
    150,605.92x = 225,945.33 × 45,418.51
  4. Step 4: Simplify right side
    150,605.92x = 10,262,100,230.06
  5. Step 5: Solve for x
    x = 10,262,100,230.06/150,605.92
  6. Step 6: Final answer
    x = 68,138.76

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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.