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Finding the Fourth Proportional to 200,297.37, 300,438.09 and 50,535.66

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Solution

The fourth proportional to 200,297.37, 300,438.09 and 50,535.66 is: 75,801.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,297.37 : 300,438.09 = 50,535.66 : x
  2. Step 2: Convert to fraction form
    200,297.37/300,438.09 = 50,535.66/x
  3. Step 3: Cross multiply
    200,297.37x = 300,438.09 × 50,535.66
  4. Step 4: Simplify right side
    200,297.37x = 15,182,837,167.29
  5. Step 5: Solve for x
    x = 15,182,837,167.29/200,297.37
  6. Step 6: Final answer
    x = 75,801.48

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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.