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Finding the Fourth Proportional to 259,793.92, 389,703.84 and 72,824.32

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Solution

The fourth proportional to 259,793.92, 389,703.84 and 72,824.32 is: 109,240.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,793.92 : 389,703.84 = 72,824.32 : x
  2. Step 2: Convert to fraction form
    259,793.92/389,703.84 = 72,824.32/x
  3. Step 3: Cross multiply
    259,793.92x = 389,703.84 × 72,824.32
  4. Step 4: Simplify right side
    259,793.92x = 28,379,917,149.39
  5. Step 5: Solve for x
    x = 28,379,917,149.39/259,793.92
  6. Step 6: Final answer
    x = 109,240.11

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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.