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Finding the Fourth Proportional to 206,593.48, 309,225.81 and 106,617.47

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Solution

The fourth proportional to 206,593.48, 309,225.81 and 106,617.47 is: 159,583.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,593.48 : 309,225.81 = 106,617.47 : x
  2. Step 2: Convert to fraction form
    206,593.48/309,225.81 = 106,617.47/x
  3. Step 3: Cross multiply
    206,593.48x = 309,225.81 × 106,617.47
  4. Step 4: Simplify right side
    206,593.48x = 32,968,873,520.90
  5. Step 5: Solve for x
    x = 32,968,873,520.90/206,593.48
  6. Step 6: Final answer
    x = 159,583.32

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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.