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Finding the Fourth Proportional to 259,683.93, 389,584.26 and 82,201.59

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Solution

The fourth proportional to 259,683.93, 389,584.26 and 82,201.59 is: 123,320.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,683.93 : 389,584.26 = 82,201.59 : x
  2. Step 2: Convert to fraction form
    259,683.93/389,584.26 = 82,201.59/x
  3. Step 3: Cross multiply
    259,683.93x = 389,584.26 × 82,201.59
  4. Step 4: Simplify right side
    259,683.93x = 32,024,445,610.97
  5. Step 5: Solve for x
    x = 32,024,445,610.97/259,683.93
  6. Step 6: Final answer
    x = 123,320.86

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1.5x scale

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.