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Finding the Fourth Proportional to 136,694.80, 205,042.20 and 133,622.80

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Solution

The fourth proportional to 136,694.80, 205,042.20 and 133,622.80 is: 200,434.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,694.80 : 205,042.20 = 133,622.80 : x
  2. Step 2: Convert to fraction form
    136,694.80/205,042.20 = 133,622.80/x
  3. Step 3: Cross multiply
    136,694.80x = 205,042.20 × 133,622.80
  4. Step 4: Simplify right side
    136,694.80x = 27,398,312,882.16
  5. Step 5: Solve for x
    x = 27,398,312,882.16/136,694.80
  6. Step 6: Final answer
    x = 200,434.20

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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.