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Finding the Fourth Proportional to 206,648.98, 285,171.39 and 114,763.39

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Solution

The fourth proportional to 206,648.98, 285,171.39 and 114,763.39 is: 158,371.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,648.98 : 285,171.39 = 114,763.39 : x
  2. Step 2: Convert to fraction form
    206,648.98/285,171.39 = 114,763.39/x
  3. Step 3: Cross multiply
    206,648.98x = 285,171.39 × 114,763.39
  4. Step 4: Simplify right side
    206,648.98x = 32,727,234,734.48
  5. Step 5: Solve for x
    x = 32,727,234,734.48/206,648.98
  6. Step 6: Final answer
    x = 158,371.14

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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.