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Finding the Fourth Proportional to 264,078.90, 396,234.99 and 106,614.90

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Solution

The fourth proportional to 264,078.90, 396,234.99 and 106,614.90 is: 159,969.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,078.90 : 396,234.99 = 106,614.90 : x
  2. Step 2: Convert to fraction form
    264,078.90/396,234.99 = 106,614.90/x
  3. Step 3: Cross multiply
    264,078.90x = 396,234.99 × 106,614.90
  4. Step 4: Simplify right side
    264,078.90x = 42,244,553,835.35
  5. Step 5: Solve for x
    x = 42,244,553,835.35/264,078.90
  6. Step 6: Final answer
    x = 159,969.44

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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.