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Finding the Fourth Proportional to 294,469.88, 441,695.82 and 84,108.20

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Solution

The fourth proportional to 294,469.88, 441,695.82 and 84,108.20 is: 126,159.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,469.88 : 441,695.82 = 84,108.20 : x
  2. Step 2: Convert to fraction form
    294,469.88/441,695.82 = 84,108.20/x
  3. Step 3: Cross multiply
    294,469.88x = 441,695.82 × 84,108.20
  4. Step 4: Simplify right side
    294,469.88x = 37,150,240,367.72
  5. Step 5: Solve for x
    x = 37,150,240,367.72/294,469.88
  6. Step 6: Final answer
    x = 126,159.73

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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.