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Finding the Fourth Proportional to 146,879.88, 202,694.43 and 83,221.98

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Solution

The fourth proportional to 146,879.88, 202,694.43 and 83,221.98 is: 114,846.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,879.88 : 202,694.43 = 83,221.98 : x
  2. Step 2: Convert to fraction form
    146,879.88/202,694.43 = 83,221.98/x
  3. Step 3: Cross multiply
    146,879.88x = 202,694.43 × 83,221.98
  4. Step 4: Simplify right side
    146,879.88x = 16,868,631,799.57
  5. Step 5: Solve for x
    x = 16,868,631,799.57/146,879.88
  6. Step 6: Final answer
    x = 114,846.44

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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.