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Finding the Fourth Proportional to 224,138.24, 309,340.32 and 143,578.88

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Solution

The fourth proportional to 224,138.24, 309,340.32 and 143,578.88 is: 198,157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,138.24 : 309,340.32 = 143,578.88 : x
  2. Step 2: Convert to fraction form
    224,138.24/309,340.32 = 143,578.88/x
  3. Step 3: Cross multiply
    224,138.24x = 309,340.32 × 143,578.88
  4. Step 4: Simplify right side
    224,138.24x = 44,414,736,684.44
  5. Step 5: Solve for x
    x = 44,414,736,684.44/224,138.24
  6. Step 6: Final answer
    x = 198,157.78

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