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Finding the Fourth Proportional to 264,102.65, 396,010.61 and 119,929.31

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Solution

The fourth proportional to 264,102.65, 396,010.61 and 119,929.31 is: 179,828.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,102.65 : 396,010.61 = 119,929.31 : x
  2. Step 2: Convert to fraction form
    264,102.65/396,010.61 = 119,929.31/x
  3. Step 3: Cross multiply
    264,102.65x = 396,010.61 × 119,929.31
  4. Step 4: Simplify right side
    264,102.65x = 47,493,278,396.40
  5. Step 5: Solve for x
    x = 47,493,278,396.40/264,102.65
  6. Step 6: Final answer
    x = 179,828.86

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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.