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Finding the Fourth Proportional to 216,069.69, 323,883 and 82,914.21

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Solution

The fourth proportional to 216,069.69, 323,883 and 82,914.21 is: 124,286.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,069.69 : 323,883 = 82,914.21 : x
  2. Step 2: Convert to fraction form
    216,069.69/323,883 = 82,914.21/x
  3. Step 3: Cross multiply
    216,069.69x = 323,883 × 82,914.21
  4. Step 4: Simplify right side
    216,069.69x = 26,854,503,077.43
  5. Step 5: Solve for x
    x = 26,854,503,077.43/216,069.69
  6. Step 6: Final answer
    x = 124,286.30

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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.