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Finding the Fourth Proportional to 120,918.22, 181,377.09 and 32,171.71

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Solution

The fourth proportional to 120,918.22, 181,377.09 and 32,171.71 is: 48,257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,918.22 : 181,377.09 = 32,171.71 : x
  2. Step 2: Convert to fraction form
    120,918.22/181,377.09 = 32,171.71/x
  3. Step 3: Cross multiply
    120,918.22x = 181,377.09 × 32,171.71
  4. Step 4: Simplify right side
    120,918.22x = 5,835,211,140.12
  5. Step 5: Solve for x
    x = 5,835,211,140.12/120,918.22
  6. Step 6: Final answer
    x = 48,257.50

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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.