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Finding the Fourth Proportional to 275,175.99, 412,736.34 and 75,516.48

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Solution

The fourth proportional to 275,175.99, 412,736.34 and 75,516.48 is: 113,267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,175.99 : 412,736.34 = 75,516.48 : x
  2. Step 2: Convert to fraction form
    275,175.99/412,736.34 = 75,516.48/x
  3. Step 3: Cross multiply
    275,175.99x = 412,736.34 × 75,516.48
  4. Step 4: Simplify right side
    275,175.99x = 31,168,395,564.88
  5. Step 5: Solve for x
    x = 31,168,395,564.88/275,175.99
  6. Step 6: Final answer
    x = 113,267.13

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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.