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Finding the Fourth Proportional to 208,453.22, 311,932.40 and 180,469.52

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Solution

The fourth proportional to 208,453.22, 311,932.40 and 180,469.52 is: 270,057.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,453.22 : 311,932.40 = 180,469.52 : x
  2. Step 2: Convert to fraction form
    208,453.22/311,932.40 = 180,469.52/x
  3. Step 3: Cross multiply
    208,453.22x = 311,932.40 × 180,469.52
  4. Step 4: Simplify right side
    208,453.22x = 56,294,288,038.44
  5. Step 5: Solve for x
    x = 56,294,288,038.44/208,453.22
  6. Step 6: Final answer
    x = 270,057.18

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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.