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Finding the Fourth Proportional to 180,558.86, 270,882.09 and 54,198.86

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Solution

The fourth proportional to 180,558.86, 270,882.09 and 54,198.86 is: 81,311.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,558.86 : 270,882.09 = 54,198.86 : x
  2. Step 2: Convert to fraction form
    180,558.86/270,882.09 = 54,198.86/x
  3. Step 3: Cross multiply
    180,558.86x = 270,882.09 × 54,198.86
  4. Step 4: Simplify right side
    180,558.86x = 14,681,499,118.01
  5. Step 5: Solve for x
    x = 14,681,499,118.01/180,558.86
  6. Step 6: Final answer
    x = 81,311.43

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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.