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Finding the Fourth Proportional to 275,072.82, 412,564.94 and 75,346.49

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Solution

The fourth proportional to 275,072.82, 412,564.94 and 75,346.49 is: 113,007.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,072.82 : 412,564.94 = 75,346.49 : x
  2. Step 2: Convert to fraction form
    275,072.82/412,564.94 = 75,346.49/x
  3. Step 3: Cross multiply
    275,072.82x = 412,564.94 × 75,346.49
  4. Step 4: Simplify right side
    275,072.82x = 31,085,320,126.06
  5. Step 5: Solve for x
    x = 31,085,320,126.06/275,072.82
  6. Step 6: Final answer
    x = 113,007.60

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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.