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Finding the Fourth Proportional to 277,203.97, 415,857.24 and 87,712.05

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Solution

The fourth proportional to 277,203.97, 415,857.24 and 87,712.05 is: 131,584.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,203.97 : 415,857.24 = 87,712.05 : x
  2. Step 2: Convert to fraction form
    277,203.97/415,857.24 = 87,712.05/x
  3. Step 3: Cross multiply
    277,203.97x = 415,857.24 × 87,712.05
  4. Step 4: Simplify right side
    277,203.97x = 36,475,691,027.74
  5. Step 5: Solve for x
    x = 36,475,691,027.74/277,203.97
  6. Step 6: Final answer
    x = 131,584.30

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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.