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Finding the Fourth Proportional to 259,992, 389,938.68 and 126,738.24

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Solution

The fourth proportional to 259,992, 389,938.68 and 126,738.24 is: 190,083.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,992 : 389,938.68 = 126,738.24 : x
  2. Step 2: Convert to fraction form
    259,992/389,938.68 = 126,738.24/x
  3. Step 3: Cross multiply
    259,992x = 389,938.68 × 126,738.24
  4. Step 4: Simplify right side
    259,992x = 49,420,142,011.12
  5. Step 5: Solve for x
    x = 49,420,142,011.12/259,992
  6. Step 6: Final answer
    x = 190,083.32

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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.