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Finding the Fourth Proportional to 206,537.50, 284,794.08 and 142,764.58

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Solution

The fourth proportional to 206,537.50, 284,794.08 and 142,764.58 is: 196,857.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,537.50 : 284,794.08 = 142,764.58 : x
  2. Step 2: Convert to fraction form
    206,537.50/284,794.08 = 142,764.58/x
  3. Step 3: Cross multiply
    206,537.50x = 284,794.08 × 142,764.58
  4. Step 4: Simplify right side
    206,537.50x = 40,658,507,217.69
  5. Step 5: Solve for x
    x = 40,658,507,217.69/206,537.50
  6. Step 6: Final answer
    x = 196,857.75

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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.