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Finding the Fourth Proportional to 269,737.10, 404,767.65 and 111,949.10

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Solution

The fourth proportional to 269,737.10, 404,767.65 and 111,949.10 is: 167,990.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,737.10 : 404,767.65 = 111,949.10 : x
  2. Step 2: Convert to fraction form
    269,737.10/404,767.65 = 111,949.10/x
  3. Step 3: Cross multiply
    269,737.10x = 404,767.65 × 111,949.10
  4. Step 4: Simplify right side
    269,737.10x = 45,313,374,126.62
  5. Step 5: Solve for x
    x = 45,313,374,126.62/269,737.10
  6. Step 6: Final answer
    x = 167,990.88

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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.