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Finding the Fourth Proportional to 209,310.50, 313,570.68 and 123,665.81

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Solution

The fourth proportional to 209,310.50, 313,570.68 and 123,665.81 is: 185,265.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,310.50 : 313,570.68 = 123,665.81 : x
  2. Step 2: Convert to fraction form
    209,310.50/313,570.68 = 123,665.81/x
  3. Step 3: Cross multiply
    209,310.50x = 313,570.68 × 123,665.81
  4. Step 4: Simplify right side
    209,310.50x = 38,777,970,566.60
  5. Step 5: Solve for x
    x = 38,777,970,566.60/209,310.50
  6. Step 6: Final answer
    x = 185,265.29

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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.