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Finding the Fourth Proportional to 224,651.92, 309,944.92 and 148,208.96

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Solution

The fourth proportional to 224,651.92, 309,944.92 and 148,208.96 is: 204,479.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,651.92 : 309,944.92 = 148,208.96 : x
  2. Step 2: Convert to fraction form
    224,651.92/309,944.92 = 148,208.96/x
  3. Step 3: Cross multiply
    224,651.92x = 309,944.92 × 148,208.96
  4. Step 4: Simplify right side
    224,651.92x = 45,936,614,250.48
  5. Step 5: Solve for x
    x = 45,936,614,250.48/224,651.92
  6. Step 6: Final answer
    x = 204,479.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.