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Finding the Fourth Proportional to 177,576.82, 266,431.40 and 106,550.44

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Solution

The fourth proportional to 177,576.82, 266,431.40 and 106,550.44 is: 159,865.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,576.82 : 266,431.40 = 106,550.44 : x
  2. Step 2: Convert to fraction form
    177,576.82/266,431.40 = 106,550.44/x
  3. Step 3: Cross multiply
    177,576.82x = 266,431.40 × 106,550.44
  4. Step 4: Simplify right side
    177,576.82x = 28,388,381,967.22
  5. Step 5: Solve for x
    x = 28,388,381,967.22/177,576.82
  6. Step 6: Final answer
    x = 159,865.36

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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.