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Finding the Fourth Proportional to 277,046.83, 415,593.83 and 87,456.48

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Solution

The fourth proportional to 277,046.83, 415,593.83 and 87,456.48 is: 131,192.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,046.83 : 415,593.83 = 87,456.48 : x
  2. Step 2: Convert to fraction form
    277,046.83/415,593.83 = 87,456.48/x
  3. Step 3: Cross multiply
    277,046.83x = 415,593.83 × 87,456.48
  4. Step 4: Simplify right side
    277,046.83x = 36,346,373,481.52
  5. Step 5: Solve for x
    x = 36,346,373,481.52/277,046.83
  6. Step 6: Final answer
    x = 131,192.17

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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.