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Finding the Fourth Proportional to 264,366.86, 396,414.21 and 106,552.94

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Solution

The fourth proportional to 264,366.86, 396,414.21 and 106,552.94 is: 159,774.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,366.86 : 396,414.21 = 106,552.94 : x
  2. Step 2: Convert to fraction form
    264,366.86/396,414.21 = 106,552.94/x
  3. Step 3: Cross multiply
    264,366.86x = 396,414.21 × 106,552.94
  4. Step 4: Simplify right side
    264,366.86x = 42,239,099,533.28
  5. Step 5: Solve for x
    x = 42,239,099,533.28/264,366.86
  6. Step 6: Final answer
    x = 159,774.56

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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.