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Finding the Fourth Proportional to 206,592.48, 309,224.31 and 106,616.47

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Solution

The fourth proportional to 206,592.48, 309,224.31 and 106,616.47 is: 159,581.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,592.48 : 309,224.31 = 106,616.47 : x
  2. Step 2: Convert to fraction form
    206,592.48/309,224.31 = 106,616.47/x
  3. Step 3: Cross multiply
    206,592.48x = 309,224.31 × 106,616.47
  4. Step 4: Simplify right side
    206,592.48x = 32,968,404,370.39
  5. Step 5: Solve for x
    x = 32,968,404,370.39/206,592.48
  6. Step 6: Final answer
    x = 159,581.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.