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Finding the Fourth Proportional to 120,194, 180,252.66 and 41,289.20

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Solution

The fourth proportional to 120,194, 180,252.66 and 41,289.20 is: 61,920.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,194 : 180,252.66 = 41,289.20 : x
  2. Step 2: Convert to fraction form
    120,194/180,252.66 = 41,289.20/x
  3. Step 3: Cross multiply
    120,194x = 180,252.66 × 41,289.20
  4. Step 4: Simplify right side
    120,194x = 7,442,488,129.27
  5. Step 5: Solve for x
    x = 7,442,488,129.27/120,194
  6. Step 6: Final answer
    x = 61,920.63

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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.