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Finding the Fourth Proportional to 259,578.54, 389,200.41 and 101,822.94

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Solution

The fourth proportional to 259,578.54, 389,200.41 and 101,822.94 is: 152,668.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,578.54 : 389,200.41 = 101,822.94 : x
  2. Step 2: Convert to fraction form
    259,578.54/389,200.41 = 101,822.94/x
  3. Step 3: Cross multiply
    259,578.54x = 389,200.41 × 101,822.94
  4. Step 4: Simplify right side
    259,578.54x = 39,629,529,995.41
  5. Step 5: Solve for x
    x = 39,629,529,995.41/259,578.54
  6. Step 6: Final answer
    x = 152,668.75

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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.