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Finding the Fourth Proportional to 202,213.10, 303,319.65 and 162,847.10

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Solution

The fourth proportional to 202,213.10, 303,319.65 and 162,847.10 is: 244,270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,213.10 : 303,319.65 = 162,847.10 : x
  2. Step 2: Convert to fraction form
    202,213.10/303,319.65 = 162,847.10/x
  3. Step 3: Cross multiply
    202,213.10x = 303,319.65 × 162,847.10
  4. Step 4: Simplify right side
    202,213.10x = 49,394,725,375.52
  5. Step 5: Solve for x
    x = 49,394,725,375.52/202,213.10
  6. Step 6: Final answer
    x = 244,270.65

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1.5x scale

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.