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Finding the Fourth Proportional to 259,752.33, 389,629.58 and 82,383.93

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Solution

The fourth proportional to 259,752.33, 389,629.58 and 82,383.93 is: 123,576.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,752.33 : 389,629.58 = 82,383.93 : x
  2. Step 2: Convert to fraction form
    259,752.33/389,629.58 = 82,383.93/x
  3. Step 3: Cross multiply
    259,752.33x = 389,629.58 × 82,383.93
  4. Step 4: Simplify right side
    259,752.33x = 32,099,215,632.73
  5. Step 5: Solve for x
    x = 32,099,215,632.73/259,752.33
  6. Step 6: Final answer
    x = 123,576.24

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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.