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Finding the Fourth Proportional to 206,844.78, 285,445.82 and 114,964.05

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Solution

The fourth proportional to 206,844.78, 285,445.82 and 114,964.05 is: 158,650.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,844.78 : 285,445.82 = 114,964.05 : x
  2. Step 2: Convert to fraction form
    206,844.78/285,445.82 = 114,964.05/x
  3. Step 3: Cross multiply
    206,844.78x = 285,445.82 × 114,964.05
  4. Step 4: Simplify right side
    206,844.78x = 32,816,007,522.77
  5. Step 5: Solve for x
    x = 32,816,007,522.77/206,844.78
  6. Step 6: Final answer
    x = 158,650.40

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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.