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Finding the Fourth Proportional to 259,600.92, 389,252.34 and 101,644.44

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Solution

The fourth proportional to 259,600.92, 389,252.34 and 101,644.44 is: 152,408.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,600.92 : 389,252.34 = 101,644.44 : x
  2. Step 2: Convert to fraction form
    259,600.92/389,252.34 = 101,644.44/x
  3. Step 3: Cross multiply
    259,600.92x = 389,252.34 × 101,644.44
  4. Step 4: Simplify right side
    259,600.92x = 39,565,336,117.99
  5. Step 5: Solve for x
    x = 39,565,336,117.99/259,600.92
  6. Step 6: Final answer
    x = 152,408.30

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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.