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Finding the Fourth Proportional to 327,154.29, 490,766.63 and 137,633.96

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Solution

The fourth proportional to 327,154.29, 490,766.63 and 137,633.96 is: 206,465.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,154.29 : 490,766.63 = 137,633.96 : x
  2. Step 2: Convert to fraction form
    327,154.29/490,766.63 = 137,633.96/x
  3. Step 3: Cross multiply
    327,154.29x = 490,766.63 × 137,633.96
  4. Step 4: Simplify right side
    327,154.29x = 67,546,151,580.75
  5. Step 5: Solve for x
    x = 67,546,151,580.75/327,154.29
  6. Step 6: Final answer
    x = 206,465.74

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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.