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Finding the Fourth Proportional to 150,433.64, 225,592.14 and 80,274.68

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Solution

The fourth proportional to 150,433.64, 225,592.14 and 80,274.68 is: 120,380.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,433.64 : 225,592.14 = 80,274.68 : x
  2. Step 2: Convert to fraction form
    150,433.64/225,592.14 = 80,274.68/x
  3. Step 3: Cross multiply
    150,433.64x = 225,592.14 × 80,274.68
  4. Step 4: Simplify right side
    150,433.64x = 18,109,336,849.02
  5. Step 5: Solve for x
    x = 18,109,336,849.02/150,433.64
  6. Step 6: Final answer
    x = 120,380.90

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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.