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Finding the Fourth Proportional to 206,150.23, 284,481.39 and 120,128.23

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Solution

The fourth proportional to 206,150.23, 284,481.39 and 120,128.23 is: 165,773.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,150.23 : 284,481.39 = 120,128.23 : x
  2. Step 2: Convert to fraction form
    206,150.23/284,481.39 = 120,128.23/x
  3. Step 3: Cross multiply
    206,150.23x = 284,481.39 × 120,128.23
  4. Step 4: Simplify right side
    206,150.23x = 34,174,245,848.64
  5. Step 5: Solve for x
    x = 34,174,245,848.64/206,150.23
  6. Step 6: Final answer
    x = 165,773.50

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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.