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Finding the Fourth Proportional to 200,507.92, 300,761.82 and 50,748.97

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Solution

The fourth proportional to 200,507.92, 300,761.82 and 50,748.97 is: 76,123.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,507.92 : 300,761.82 = 50,748.97 : x
  2. Step 2: Convert to fraction form
    200,507.92/300,761.82 = 50,748.97/x
  3. Step 3: Cross multiply
    200,507.92x = 300,761.82 × 50,748.97
  4. Step 4: Simplify right side
    200,507.92x = 15,263,352,580.33
  5. Step 5: Solve for x
    x = 15,263,352,580.33/200,507.92
  6. Step 6: Final answer
    x = 76,123.44

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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.