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Finding the Fourth Proportional to 193,217.20, 289,825.80 and 133,082.80

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Solution

The fourth proportional to 193,217.20, 289,825.80 and 133,082.80 is: 199,624.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,217.20 : 289,825.80 = 133,082.80 : x
  2. Step 2: Convert to fraction form
    193,217.20/289,825.80 = 133,082.80/x
  3. Step 3: Cross multiply
    193,217.20x = 289,825.80 × 133,082.80
  4. Step 4: Simplify right side
    193,217.20x = 38,570,828,976.24
  5. Step 5: Solve for x
    x = 38,570,828,976.24/193,217.20
  6. Step 6: Final answer
    x = 199,624.20

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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.