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Finding the Fourth Proportional to 206,687.14, 285,206.22 and 116,053

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Solution

The fourth proportional to 206,687.14, 285,206.22 and 116,053 is: 160,140.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,687.14 : 285,206.22 = 116,053 : x
  2. Step 2: Convert to fraction form
    206,687.14/285,206.22 = 116,053/x
  3. Step 3: Cross multiply
    206,687.14x = 285,206.22 × 116,053
  4. Step 4: Simplify right side
    206,687.14x = 33,099,037,449.66
  5. Step 5: Solve for x
    x = 33,099,037,449.66/206,687.14
  6. Step 6: Final answer
    x = 160,140.77

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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.