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Finding the Fourth Proportional to 275,222.15, 412,758.48 and 75,495.29

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Solution

The fourth proportional to 275,222.15, 412,758.48 and 75,495.29 is: 113,222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,222.15 : 412,758.48 = 75,495.29 : x
  2. Step 2: Convert to fraction form
    275,222.15/412,758.48 = 75,495.29/x
  3. Step 3: Cross multiply
    275,222.15x = 412,758.48 × 75,495.29
  4. Step 4: Simplify right side
    275,222.15x = 31,161,321,688.64
  5. Step 5: Solve for x
    x = 31,161,321,688.64/275,222.15
  6. Step 6: Final answer
    x = 113,222.43

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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.