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Finding the Fourth Proportional to 205,351.80, 307,954.80 and 142,171.80

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Solution

The fourth proportional to 205,351.80, 307,954.80 and 142,171.80 is: 213,207.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,351.80 : 307,954.80 = 142,171.80 : x
  2. Step 2: Convert to fraction form
    205,351.80/307,954.80 = 142,171.80/x
  3. Step 3: Cross multiply
    205,351.80x = 307,954.80 × 142,171.80
  4. Step 4: Simplify right side
    205,351.80x = 43,782,488,234.64
  5. Step 5: Solve for x
    x = 43,782,488,234.64/205,351.80
  6. Step 6: Final answer
    x = 213,207.23

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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.