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Finding the Fourth Proportional to 297,183.75, 410,120.78 and 163,047.75

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Solution

The fourth proportional to 297,183.75, 410,120.78 and 163,047.75 is: 225,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,183.75 : 410,120.78 = 163,047.75 : x
  2. Step 2: Convert to fraction form
    297,183.75/410,120.78 = 163,047.75/x
  3. Step 3: Cross multiply
    297,183.75x = 410,120.78 × 163,047.75
  4. Step 4: Simplify right side
    297,183.75x = 66,869,270,407.25
  5. Step 5: Solve for x
    x = 66,869,270,407.25/297,183.75
  6. Step 6: Final answer
    x = 225,009.85

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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.