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Finding the Fourth Proportional to 283,859.28, 391,745.16 and 164,627.28

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Solution

The fourth proportional to 283,859.28, 391,745.16 and 164,627.28 is: 227,196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,859.28 : 391,745.16 = 164,627.28 : x
  2. Step 2: Convert to fraction form
    283,859.28/391,745.16 = 164,627.28/x
  3. Step 3: Cross multiply
    283,859.28x = 391,745.16 × 164,627.28
  4. Step 4: Simplify right side
    283,859.28x = 64,491,940,143.96
  5. Step 5: Solve for x
    x = 64,491,940,143.96/283,859.28
  6. Step 6: Final answer
    x = 227,196.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.