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Finding the Fourth Proportional to 177,469.92, 266,131.44 and 72,217.44

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Solution

The fourth proportional to 177,469.92, 266,131.44 and 72,217.44 is: 108,296.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,469.92 : 266,131.44 = 72,217.44 : x
  2. Step 2: Convert to fraction form
    177,469.92/266,131.44 = 72,217.44/x
  3. Step 3: Cross multiply
    177,469.92x = 266,131.44 × 72,217.44
  4. Step 4: Simplify right side
    177,469.92x = 19,219,331,300.31
  5. Step 5: Solve for x
    x = 19,219,331,300.31/177,469.92
  6. Step 6: Final answer
    x = 108,296.28

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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.