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Finding the Fourth Proportional to 206,269.46, 284,646.74 and 114,388.22

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Solution

The fourth proportional to 206,269.46, 284,646.74 and 114,388.22 is: 157,852.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,269.46 : 284,646.74 = 114,388.22 : x
  2. Step 2: Convert to fraction form
    206,269.46/284,646.74 = 114,388.22/x
  3. Step 3: Cross multiply
    206,269.46x = 284,646.74 × 114,388.22
  4. Step 4: Simplify right side
    206,269.46x = 32,560,231,922.23
  5. Step 5: Solve for x
    x = 32,560,231,922.23/206,269.46
  6. Step 6: Final answer
    x = 157,852.90

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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.