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Finding the Fourth Proportional to 218,054.77, 327,082.16 and 68,296.30

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Solution

The fourth proportional to 218,054.77, 327,082.16 and 68,296.30 is: 102,444.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,054.77 : 327,082.16 = 68,296.30 : x
  2. Step 2: Convert to fraction form
    218,054.77/327,082.16 = 68,296.30/x
  3. Step 3: Cross multiply
    218,054.77x = 327,082.16 × 68,296.30
  4. Step 4: Simplify right side
    218,054.77x = 22,338,500,982.53
  5. Step 5: Solve for x
    x = 22,338,500,982.53/218,054.77
  6. Step 6: Final answer
    x = 102,444.45

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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.