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Finding the Fourth Proportional to 264,142.72, 396,199.49 and 193,138.12

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Solution

The fourth proportional to 264,142.72, 396,199.49 and 193,138.12 is: 289,696.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,142.72 : 396,199.49 = 193,138.12 : x
  2. Step 2: Convert to fraction form
    264,142.72/396,199.49 = 193,138.12/x
  3. Step 3: Cross multiply
    264,142.72x = 396,199.49 × 193,138.12
  4. Step 4: Simplify right side
    264,142.72x = 76,521,224,135.91
  5. Step 5: Solve for x
    x = 76,521,224,135.91/264,142.72
  6. Step 6: Final answer
    x = 289,696.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.