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Finding the Fourth Proportional to 225,164.38, 338,132.94 and 199,920.94

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Solution

The fourth proportional to 225,164.38, 338,132.94 and 199,920.94 is: 300,224.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,164.38 : 338,132.94 = 199,920.94 : x
  2. Step 2: Convert to fraction form
    225,164.38/338,132.94 = 199,920.94/x
  3. Step 3: Cross multiply
    225,164.38x = 338,132.94 × 199,920.94
  4. Step 4: Simplify right side
    225,164.38x = 67,599,855,209.76
  5. Step 5: Solve for x
    x = 67,599,855,209.76/225,164.38
  6. Step 6: Final answer
    x = 300,224.46

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1.5x scale

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.