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Finding the Fourth Proportional to 275,404.80, 413,107.20 and 135,436.80

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Solution

The fourth proportional to 275,404.80, 413,107.20 and 135,436.80 is: 203,155.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,404.80 : 413,107.20 = 135,436.80 : x
  2. Step 2: Convert to fraction form
    275,404.80/413,107.20 = 135,436.80/x
  3. Step 3: Cross multiply
    275,404.80x = 413,107.20 × 135,436.80
  4. Step 4: Simplify right side
    275,404.80x = 55,949,917,224.96
  5. Step 5: Solve for x
    x = 55,949,917,224.96/275,404.80
  6. Step 6: Final answer
    x = 203,155.20

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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.