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Finding the Fourth Proportional to 217,024.40, 325,147.80 and 192,141.20

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Solution

The fourth proportional to 217,024.40, 325,147.80 and 192,141.20 is: 287,867.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,024.40 : 325,147.80 = 192,141.20 : x
  2. Step 2: Convert to fraction form
    217,024.40/325,147.80 = 192,141.20/x
  3. Step 3: Cross multiply
    217,024.40x = 325,147.80 × 192,141.20
  4. Step 4: Simplify right side
    217,024.40x = 62,474,288,469.36
  5. Step 5: Solve for x
    x = 62,474,288,469.36/217,024.40
  6. Step 6: Final answer
    x = 287,867.58

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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.