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Finding the Fourth Proportional to 209,314.14, 313,982.10 and 69,083.70

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Solution

The fourth proportional to 209,314.14, 313,982.10 and 69,083.70 is: 103,629.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,314.14 : 313,982.10 = 69,083.70 : x
  2. Step 2: Convert to fraction form
    209,314.14/313,982.10 = 69,083.70/x
  3. Step 3: Cross multiply
    209,314.14x = 313,982.10 × 69,083.70
  4. Step 4: Simplify right side
    209,314.14x = 21,691,045,201.77
  5. Step 5: Solve for x
    x = 21,691,045,201.77/209,314.14
  6. Step 6: Final answer
    x = 103,629.14

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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.