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Finding the Fourth Proportional to 225,209.79, 338,200.92 and 199,966.23

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Solution

The fourth proportional to 225,209.79, 338,200.92 and 199,966.23 is: 300,292.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,209.79 : 338,200.92 = 199,966.23 : x
  2. Step 2: Convert to fraction form
    225,209.79/338,200.92 = 199,966.23/x
  3. Step 3: Cross multiply
    225,209.79x = 338,200.92 × 199,966.23
  4. Step 4: Simplify right side
    225,209.79x = 67,628,762,954.93
  5. Step 5: Solve for x
    x = 67,628,762,954.93/225,209.79
  6. Step 6: Final answer
    x = 300,292.29

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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.