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Finding the Fourth Proportional to 193,077.20, 289,270.20 and 165,429.20

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Solution

The fourth proportional to 193,077.20, 289,270.20 and 165,429.20 is: 247,847.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,077.20 : 289,270.20 = 165,429.20 : x
  2. Step 2: Convert to fraction form
    193,077.20/289,270.20 = 165,429.20/x
  3. Step 3: Cross multiply
    193,077.20x = 289,270.20 × 165,429.20
  4. Step 4: Simplify right side
    193,077.20x = 47,853,737,769.84
  5. Step 5: Solve for x
    x = 47,853,737,769.84/193,077.20
  6. Step 6: Final answer
    x = 247,847.69

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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.