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Finding the Fourth Proportional to 259,412.37, 389,361.15 and 159,766.98

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Solution

The fourth proportional to 259,412.37, 389,361.15 and 159,766.98 is: 239,799.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,412.37 : 389,361.15 = 159,766.98 : x
  2. Step 2: Convert to fraction form
    259,412.37/389,361.15 = 159,766.98/x
  3. Step 3: Cross multiply
    259,412.37x = 389,361.15 × 159,766.98
  4. Step 4: Simplify right side
    259,412.37x = 62,207,055,064.83
  5. Step 5: Solve for x
    x = 62,207,055,064.83/259,412.37
  6. Step 6: Final answer
    x = 239,799.88

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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.