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Finding the Fourth Proportional to 218,165.82, 327,212.28 and 60,410.22

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Solution

The fourth proportional to 218,165.82, 327,212.28 and 60,410.22 is: 90,605.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,165.82 : 327,212.28 = 60,410.22 : x
  2. Step 2: Convert to fraction form
    218,165.82/327,212.28 = 60,410.22/x
  3. Step 3: Cross multiply
    218,165.82x = 327,212.28 × 60,410.22
  4. Step 4: Simplify right side
    218,165.82x = 19,766,965,821.50
  5. Step 5: Solve for x
    x = 19,766,965,821.50/218,165.82
  6. Step 6: Final answer
    x = 90,605.24

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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.