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Finding the Fourth Proportional to 206,234.52, 309,141.58 and 188,053.30

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Solution

The fourth proportional to 206,234.52, 309,141.58 and 188,053.30 is: 281,888.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,234.52 : 309,141.58 = 188,053.30 : x
  2. Step 2: Convert to fraction form
    206,234.52/309,141.58 = 188,053.30/x
  3. Step 3: Cross multiply
    206,234.52x = 309,141.58 × 188,053.30
  4. Step 4: Simplify right side
    206,234.52x = 58,135,094,286.21
  5. Step 5: Solve for x
    x = 58,135,094,286.21/206,234.52
  6. Step 6: Final answer
    x = 281,888.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.