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Finding the Fourth Proportional to 283,462.97, 391,179.96 and 156,138.26

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Solution

The fourth proportional to 283,462.97, 391,179.96 and 156,138.26 is: 215,471.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,462.97 : 391,179.96 = 156,138.26 : x
  2. Step 2: Convert to fraction form
    283,462.97/391,179.96 = 156,138.26/x
  3. Step 3: Cross multiply
    283,462.97x = 391,179.96 × 156,138.26
  4. Step 4: Simplify right side
    283,462.97x = 61,078,156,345.37
  5. Step 5: Solve for x
    x = 61,078,156,345.37/283,462.97
  6. Step 6: Final answer
    x = 215,471.38

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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.