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Finding the Fourth Proportional to 159,214.78, 219,716.38 and 87,593.26

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Solution

The fourth proportional to 159,214.78, 219,716.38 and 87,593.26 is: 120,878.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,214.78 : 219,716.38 = 87,593.26 : x
  2. Step 2: Convert to fraction form
    159,214.78/219,716.38 = 87,593.26/x
  3. Step 3: Cross multiply
    159,214.78x = 219,716.38 × 87,593.26
  4. Step 4: Simplify right side
    159,214.78x = 19,245,673,450.31
  5. Step 5: Solve for x
    x = 19,245,673,450.31/159,214.78
  6. Step 6: Final answer
    x = 120,878.69

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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.