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Finding the Fourth Proportional to 206,891.56, 285,510.54 and 117,467.56

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Solution

The fourth proportional to 206,891.56, 285,510.54 and 117,467.56 is: 162,105.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,891.56 : 285,510.54 = 117,467.56 : x
  2. Step 2: Convert to fraction form
    206,891.56/285,510.54 = 117,467.56/x
  3. Step 3: Cross multiply
    206,891.56x = 285,510.54 × 117,467.56
  4. Step 4: Simplify right side
    206,891.56x = 33,538,226,488.08
  5. Step 5: Solve for x
    x = 33,538,226,488.08/206,891.56
  6. Step 6: Final answer
    x = 162,105.34

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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.