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Finding the Fourth Proportional to 264,107.91, 364,487.76 and 149,387.61

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Solution

The fourth proportional to 264,107.91, 364,487.76 and 149,387.61 is: 206,165.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,107.91 : 364,487.76 = 149,387.61 : x
  2. Step 2: Convert to fraction form
    264,107.91/364,487.76 = 149,387.61/x
  3. Step 3: Cross multiply
    264,107.91x = 364,487.76 × 149,387.61
  4. Step 4: Simplify right side
    264,107.91x = 54,449,955,340.65
  5. Step 5: Solve for x
    x = 54,449,955,340.65/264,107.91
  6. Step 6: Final answer
    x = 206,165.56

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Why These Related Problems?

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