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Finding the Fourth Proportional to 264,219.72, 396,342.58 and 106,426.84

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Solution

The fourth proportional to 264,219.72, 396,342.58 and 106,426.84 is: 159,645.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,219.72 : 396,342.58 = 106,426.84 : x
  2. Step 2: Convert to fraction form
    264,219.72/396,342.58 = 106,426.84/x
  3. Step 3: Cross multiply
    264,219.72x = 396,342.58 × 106,426.84
  4. Step 4: Simplify right side
    264,219.72x = 42,181,488,346.85
  5. Step 5: Solve for x
    x = 42,181,488,346.85/264,219.72
  6. Step 6: Final answer
    x = 159,645.50

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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.