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Finding the Fourth Proportional to 275,196.48, 412,795.32 and 75,519.60

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Solution

The fourth proportional to 275,196.48, 412,795.32 and 75,519.60 is: 113,279.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,196.48 : 412,795.32 = 75,519.60 : x
  2. Step 2: Convert to fraction form
    275,196.48/412,795.32 = 75,519.60/x
  3. Step 3: Cross multiply
    275,196.48x = 412,795.32 × 75,519.60
  4. Step 4: Simplify right side
    275,196.48x = 31,174,137,448.27
  5. Step 5: Solve for x
    x = 31,174,137,448.27/275,196.48
  6. Step 6: Final answer
    x = 113,279.56

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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.