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Finding the Fourth Proportional to 120,183.50, 165,846.71 and 66,465.38

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Solution

The fourth proportional to 120,183.50, 165,846.71 and 66,465.38 is: 91,718.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,183.50 : 165,846.71 = 66,465.38 : x
  2. Step 2: Convert to fraction form
    120,183.50/165,846.71 = 66,465.38/x
  3. Step 3: Cross multiply
    120,183.50x = 165,846.71 × 66,465.38
  4. Step 4: Simplify right side
    120,183.50x = 11,023,064,269.57
  5. Step 5: Solve for x
    x = 11,023,064,269.57/120,183.50
  6. Step 6: Final answer
    x = 91,718.62

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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.