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Finding the Fourth Proportional to 183,874.20, 275,843.70 and 65,614.20

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Solution

The fourth proportional to 183,874.20, 275,843.70 and 65,614.20 is: 98,432.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,874.20 : 275,843.70 = 65,614.20 : x
  2. Step 2: Convert to fraction form
    183,874.20/275,843.70 = 65,614.20/x
  3. Step 3: Cross multiply
    183,874.20x = 275,843.70 × 65,614.20
  4. Step 4: Simplify right side
    183,874.20x = 18,099,263,700.54
  5. Step 5: Solve for x
    x = 18,099,263,700.54/183,874.20
  6. Step 6: Final answer
    x = 98,432.86

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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.