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Finding the Fourth Proportional to 275,281.37, 412,921.27 and 75,601.95

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Solution

The fourth proportional to 275,281.37, 412,921.27 and 75,601.95 is: 113,402.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,281.37 : 412,921.27 = 75,601.95 : x
  2. Step 2: Convert to fraction form
    275,281.37/412,921.27 = 75,601.95/x
  3. Step 3: Cross multiply
    275,281.37x = 412,921.27 × 75,601.95
  4. Step 4: Simplify right side
    275,281.37x = 31,217,653,208.48
  5. Step 5: Solve for x
    x = 31,217,653,208.48/275,281.37
  6. Step 6: Final answer
    x = 113,402.71

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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.