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Finding the Fourth Proportional to 206,074.94, 284,388.09 and 115,437.56

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Solution

The fourth proportional to 206,074.94, 284,388.09 and 115,437.56 is: 159,306.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,074.94 : 284,388.09 = 115,437.56 : x
  2. Step 2: Convert to fraction form
    206,074.94/284,388.09 = 115,437.56/x
  3. Step 3: Cross multiply
    206,074.94x = 284,388.09 × 115,437.56
  4. Step 4: Simplify right side
    206,074.94x = 32,829,067,202.66
  5. Step 5: Solve for x
    x = 32,829,067,202.66/206,074.94
  6. Step 6: Final answer
    x = 159,306.45

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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.