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Finding the Fourth Proportional to 150,776.94, 208,062.72 and 82,793.44

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Solution

The fourth proportional to 150,776.94, 208,062.72 and 82,793.44 is: 114,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,776.94 : 208,062.72 = 82,793.44 : x
  2. Step 2: Convert to fraction form
    150,776.94/208,062.72 = 82,793.44/x
  3. Step 3: Cross multiply
    150,776.94x = 208,062.72 × 82,793.44
  4. Step 4: Simplify right side
    150,776.94x = 17,226,228,324.56
  5. Step 5: Solve for x
    x = 17,226,228,324.56/150,776.94
  6. Step 6: Final answer
    x = 114,249.75

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1.5x scale

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.