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Finding the Fourth Proportional to 206,474.37, 284,633.04 and 145,938.21

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Solution

The fourth proportional to 206,474.37, 284,633.04 and 145,938.21 is: 201,181.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,474.37 : 284,633.04 = 145,938.21 : x
  2. Step 2: Convert to fraction form
    206,474.37/284,633.04 = 145,938.21/x
  3. Step 3: Cross multiply
    206,474.37x = 284,633.04 × 145,938.21
  4. Step 4: Simplify right side
    206,474.37x = 41,538,835,023.45
  5. Step 5: Solve for x
    x = 41,538,835,023.45/206,474.37
  6. Step 6: Final answer
    x = 201,181.56

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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.