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Finding the Fourth Proportional to 206,037.66, 284,328.87 and 115,393.26

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Solution

The fourth proportional to 206,037.66, 284,328.87 and 115,393.26 is: 159,240.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,037.66 : 284,328.87 = 115,393.26 : x
  2. Step 2: Convert to fraction form
    206,037.66/284,328.87 = 115,393.26/x
  3. Step 3: Cross multiply
    206,037.66x = 284,328.87 × 115,393.26
  4. Step 4: Simplify right side
    206,037.66x = 32,809,635,221.42
  5. Step 5: Solve for x
    x = 32,809,635,221.42/206,037.66
  6. Step 6: Final answer
    x = 159,240.96

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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.