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Finding the Fourth Proportional to 120,825.44, 181,353.48 and 74,169.44

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Solution

The fourth proportional to 120,825.44, 181,353.48 and 74,169.44 is: 111,324.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,825.44 : 181,353.48 = 74,169.44 : x
  2. Step 2: Convert to fraction form
    120,825.44/181,353.48 = 74,169.44/x
  3. Step 3: Cross multiply
    120,825.44x = 181,353.48 × 74,169.44
  4. Step 4: Simplify right side
    120,825.44x = 13,450,886,053.65
  5. Step 5: Solve for x
    x = 13,450,886,053.65/120,825.44
  6. Step 6: Final answer
    x = 111,324.95

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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.