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Finding the Fourth Proportional to 277,057.83, 415,610.31 and 87,467.48

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Solution

The fourth proportional to 277,057.83, 415,610.31 and 87,467.48 is: 131,208.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,057.83 : 415,610.31 = 87,467.48 : x
  2. Step 2: Convert to fraction form
    277,057.83/415,610.31 = 87,467.48/x
  3. Step 3: Cross multiply
    277,057.83x = 415,610.31 × 87,467.48
  4. Step 4: Simplify right side
    277,057.83x = 36,352,384,399.67
  5. Step 5: Solve for x
    x = 36,352,384,399.67/277,057.83
  6. Step 6: Final answer
    x = 131,208.65

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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.