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Finding the Fourth Proportional to 150,502.80, 207,694.44 and 82,520.82

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Solution

The fourth proportional to 150,502.80, 207,694.44 and 82,520.82 is: 113,879.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,502.80 : 207,694.44 = 82,520.82 : x
  2. Step 2: Convert to fraction form
    150,502.80/207,694.44 = 82,520.82/x
  3. Step 3: Cross multiply
    150,502.80x = 207,694.44 × 82,520.82
  4. Step 4: Simplify right side
    150,502.80x = 17,139,115,498.24
  5. Step 5: Solve for x
    x = 17,139,115,498.24/150,502.80
  6. Step 6: Final answer
    x = 113,879.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.