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Finding the Fourth Proportional to 205,489.27, 308,110.68 and 85,401.37

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Solution

The fourth proportional to 205,489.27, 308,110.68 and 85,401.37 is: 128,050.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,489.27 : 308,110.68 = 85,401.37 : x
  2. Step 2: Convert to fraction form
    205,489.27/308,110.68 = 85,401.37/x
  3. Step 3: Cross multiply
    205,489.27x = 308,110.68 × 85,401.37
  4. Step 4: Simplify right side
    205,489.27x = 26,313,074,183.63
  5. Step 5: Solve for x
    x = 26,313,074,183.63/205,489.27
  6. Step 6: Final answer
    x = 128,050.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.