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Finding the Fourth Proportional to 378,189.68, 521,915 and 206,121.99

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Solution

The fourth proportional to 378,189.68, 521,915 and 206,121.99 is: 284,455.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,189.68 : 521,915 = 206,121.99 : x
  2. Step 2: Convert to fraction form
    378,189.68/521,915 = 206,121.99/x
  3. Step 3: Cross multiply
    378,189.68x = 521,915 × 206,121.99
  4. Step 4: Simplify right side
    378,189.68x = 107,578,155,801.28
  5. Step 5: Solve for x
    x = 107,578,155,801.28/378,189.68
  6. Step 6: Final answer
    x = 284,455.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.