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Finding the Fourth Proportional to 206,301.45, 284,716.17 and 115,657.59

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Solution

The fourth proportional to 206,301.45, 284,716.17 and 115,657.59 is: 159,618.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,301.45 : 284,716.17 = 115,657.59 : x
  2. Step 2: Convert to fraction form
    206,301.45/284,716.17 = 115,657.59/x
  3. Step 3: Cross multiply
    206,301.45x = 284,716.17 × 115,657.59
  4. Step 4: Simplify right side
    206,301.45x = 32,929,586,056.23
  5. Step 5: Solve for x
    x = 32,929,586,056.23/206,301.45
  6. Step 6: Final answer
    x = 159,618.78

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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.