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Finding the Fourth Proportional to 215,231.80, 322,694.10 and 96,806.20

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Solution

The fourth proportional to 215,231.80, 322,694.10 and 96,806.20 is: 145,140.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,231.80 : 322,694.10 = 96,806.20 : x
  2. Step 2: Convert to fraction form
    215,231.80/322,694.10 = 96,806.20/x
  3. Step 3: Cross multiply
    215,231.80x = 322,694.10 × 96,806.20
  4. Step 4: Simplify right side
    215,231.80x = 31,238,789,583.42
  5. Step 5: Solve for x
    x = 31,238,789,583.42/215,231.80
  6. Step 6: Final answer
    x = 145,140.21

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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.