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Finding the Fourth Proportional to 275,139.02, 412,709.14 and 75,462.26

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Solution

The fourth proportional to 275,139.02, 412,709.14 and 75,462.26 is: 113,193.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,139.02 : 412,709.14 = 75,462.26 : x
  2. Step 2: Convert to fraction form
    275,139.02/412,709.14 = 75,462.26/x
  3. Step 3: Cross multiply
    275,139.02x = 412,709.14 × 75,462.26
  4. Step 4: Simplify right side
    275,139.02x = 31,143,964,427.06
  5. Step 5: Solve for x
    x = 31,143,964,427.06/275,139.02
  6. Step 6: Final answer
    x = 113,193.56

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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.