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Finding the Fourth Proportional to 231,255.98, 346,879.03 and 106,596.98

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Solution

The fourth proportional to 231,255.98, 346,879.03 and 106,596.98 is: 159,893.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,255.98 : 346,879.03 = 106,596.98 : x
  2. Step 2: Convert to fraction form
    231,255.98/346,879.03 = 106,596.98/x
  3. Step 3: Cross multiply
    231,255.98x = 346,879.03 × 106,596.98
  4. Step 4: Simplify right side
    231,255.98x = 36,976,257,023.33
  5. Step 5: Solve for x
    x = 36,976,257,023.33/231,255.98
  6. Step 6: Final answer
    x = 159,893.19

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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.