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Finding the Fourth Proportional to 202,306.25, 279,183.65 and 111,662.39

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Solution

The fourth proportional to 202,306.25, 279,183.65 and 111,662.39 is: 154,094.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,306.25 : 279,183.65 = 111,662.39 : x
  2. Step 2: Convert to fraction form
    202,306.25/279,183.65 = 111,662.39/x
  3. Step 3: Cross multiply
    202,306.25x = 279,183.65 × 111,662.39
  4. Step 4: Simplify right side
    202,306.25x = 31,174,313,747.57
  5. Step 5: Solve for x
    x = 31,174,313,747.57/202,306.25
  6. Step 6: Final answer
    x = 154,094.66

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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.