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Finding the Fourth Proportional to 209,101.92, 313,654.50 and 51,331.74

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Solution

The fourth proportional to 209,101.92, 313,654.50 and 51,331.74 is: 76,998.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,101.92 : 313,654.50 = 51,331.74 : x
  2. Step 2: Convert to fraction form
    209,101.92/313,654.50 = 51,331.74/x
  3. Step 3: Cross multiply
    209,101.92x = 313,654.50 × 51,331.74
  4. Step 4: Simplify right side
    209,101.92x = 16,100,431,243.83
  5. Step 5: Solve for x
    x = 16,100,431,243.83/209,101.92
  6. Step 6: Final answer
    x = 76,998.01

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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.