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Finding the Fourth Proportional to 296,892.12, 445,103.94 and 147,183.96

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Solution

The fourth proportional to 296,892.12, 445,103.94 and 147,183.96 is: 220,659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,892.12 : 445,103.94 = 147,183.96 : x
  2. Step 2: Convert to fraction form
    296,892.12/445,103.94 = 147,183.96/x
  3. Step 3: Cross multiply
    296,892.12x = 445,103.94 × 147,183.96
  4. Step 4: Simplify right side
    296,892.12x = 65,512,160,500.80
  5. Step 5: Solve for x
    x = 65,512,160,500.80/296,892.12
  6. Step 6: Final answer
    x = 220,659.82

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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.