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Finding the Fourth Proportional to 206,600.94, 285,097.32 and 115,948.44

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Solution

The fourth proportional to 206,600.94, 285,097.32 and 115,948.44 is: 160,002.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,600.94 : 285,097.32 = 115,948.44 : x
  2. Step 2: Convert to fraction form
    206,600.94/285,097.32 = 115,948.44/x
  3. Step 3: Cross multiply
    206,600.94x = 285,097.32 × 115,948.44
  4. Step 4: Simplify right side
    206,600.94x = 33,056,589,502.18
  5. Step 5: Solve for x
    x = 33,056,589,502.18/206,600.94
  6. Step 6: Final answer
    x = 160,002.13

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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.