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Finding the Fourth Proportional to 206,410.38, 284,848.68 and 114,531.33

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Solution

The fourth proportional to 206,410.38, 284,848.68 and 114,531.33 is: 158,054.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,410.38 : 284,848.68 = 114,531.33 : x
  2. Step 2: Convert to fraction form
    206,410.38/284,848.68 = 114,531.33/x
  3. Step 3: Cross multiply
    206,410.38x = 284,848.68 × 114,531.33
  4. Step 4: Simplify right side
    206,410.38x = 32,624,098,169.14
  5. Step 5: Solve for x
    x = 32,624,098,169.14/206,410.38
  6. Step 6: Final answer
    x = 158,054.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.