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Finding the Fourth Proportional to 259,713.70, 389,744.70 and 91,233.70

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Solution

The fourth proportional to 259,713.70, 389,744.70 and 91,233.70 is: 136,911.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,713.70 : 389,744.70 = 91,233.70 : x
  2. Step 2: Convert to fraction form
    259,713.70/389,744.70 = 91,233.70/x
  3. Step 3: Cross multiply
    259,713.70x = 389,744.70 × 91,233.70
  4. Step 4: Simplify right side
    259,713.70x = 35,557,851,036.39
  5. Step 5: Solve for x
    x = 35,557,851,036.39/259,713.70
  6. Step 6: Final answer
    x = 136,911.73

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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.