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Finding the Fourth Proportional to 225,786.43, 338,015.25 and 150,720.40

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Solution

The fourth proportional to 225,786.43, 338,015.25 and 150,720.40 is: 225,637.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,786.43 : 338,015.25 = 150,720.40 : x
  2. Step 2: Convert to fraction form
    225,786.43/338,015.25 = 150,720.40/x
  3. Step 3: Cross multiply
    225,786.43x = 338,015.25 × 150,720.40
  4. Step 4: Simplify right side
    225,786.43x = 50,945,793,686.10
  5. Step 5: Solve for x
    x = 50,945,793,686.10/225,786.43
  6. Step 6: Final answer
    x = 225,637.09

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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.