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Finding the Fourth Proportional to 208,524.32, 312,786.42 and 180,360.66

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Solution

The fourth proportional to 208,524.32, 312,786.42 and 180,360.66 is: 270,540.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,524.32 : 312,786.42 = 180,360.66 : x
  2. Step 2: Convert to fraction form
    208,524.32/312,786.42 = 180,360.66/x
  3. Step 3: Cross multiply
    208,524.32x = 312,786.42 × 180,360.66
  4. Step 4: Simplify right side
    208,524.32x = 56,414,365,150.24
  5. Step 5: Solve for x
    x = 56,414,365,150.24/208,524.32
  6. Step 6: Final answer
    x = 270,540.94

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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.