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Finding the Fourth Proportional to 206,324.48, 309,285.84 and 106,597.28

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Solution

The fourth proportional to 206,324.48, 309,285.84 and 106,597.28 is: 159,792.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,324.48 : 309,285.84 = 106,597.28 : x
  2. Step 2: Convert to fraction form
    206,324.48/309,285.84 = 106,597.28/x
  3. Step 3: Cross multiply
    206,324.48x = 309,285.84 × 106,597.28
  4. Step 4: Simplify right side
    206,324.48x = 32,969,029,286.52
  5. Step 5: Solve for x
    x = 32,969,029,286.52/206,324.48
  6. Step 6: Final answer
    x = 159,792.14

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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.