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Finding the Fourth Proportional to 219,762.34, 329,640.99 and 53,550.34

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Solution

The fourth proportional to 219,762.34, 329,640.99 and 53,550.34 is: 80,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,762.34 : 329,640.99 = 53,550.34 : x
  2. Step 2: Convert to fraction form
    219,762.34/329,640.99 = 53,550.34/x
  3. Step 3: Cross multiply
    219,762.34x = 329,640.99 × 53,550.34
  4. Step 4: Simplify right side
    219,762.34x = 17,652,387,092.44
  5. Step 5: Solve for x
    x = 17,652,387,092.44/219,762.34
  6. Step 6: Final answer
    x = 80,324.90

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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.