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Finding the Fourth Proportional to 224,643.88, 309,933.92 and 148,200.96

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Solution

The fourth proportional to 224,643.88, 309,933.92 and 148,200.96 is: 204,468.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,643.88 : 309,933.92 = 148,200.96 : x
  2. Step 2: Convert to fraction form
    224,643.88/309,933.92 = 148,200.96/x
  3. Step 3: Cross multiply
    224,643.88x = 309,933.92 × 148,200.96
  4. Step 4: Simplify right side
    224,643.88x = 45,932,504,480.56
  5. Step 5: Solve for x
    x = 45,932,504,480.56/224,643.88
  6. Step 6: Final answer
    x = 204,468.09

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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.