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Finding the Fourth Proportional to 378,136.89, 521,822.15 and 206,056.07

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Solution

The fourth proportional to 378,136.89, 521,822.15 and 206,056.07 is: 284,353.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,136.89 : 521,822.15 = 206,056.07 : x
  2. Step 2: Convert to fraction form
    378,136.89/521,822.15 = 206,056.07/x
  3. Step 3: Cross multiply
    378,136.89x = 521,822.15 × 206,056.07
  4. Step 4: Simplify right side
    378,136.89x = 107,524,620,558.10
  5. Step 5: Solve for x
    x = 107,524,620,558.10/378,136.89
  6. Step 6: Final answer
    x = 284,353.69

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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.