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Finding the Fourth Proportional to 206,342.52, 284,803.32 and 125,814.44

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Solution

The fourth proportional to 206,342.52, 284,803.32 and 125,814.44 is: 173,654.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,342.52 : 284,803.32 = 125,814.44 : x
  2. Step 2: Convert to fraction form
    206,342.52/284,803.32 = 125,814.44/x
  3. Step 3: Cross multiply
    206,342.52x = 284,803.32 × 125,814.44
  4. Step 4: Simplify right side
    206,342.52x = 35,832,370,215.94
  5. Step 5: Solve for x
    x = 35,832,370,215.94/206,342.52
  6. Step 6: Final answer
    x = 173,654.81

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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.