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Finding the Fourth Proportional to 106,231.54, 146,608.11 and 60,913.75

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Solution

The fourth proportional to 106,231.54, 146,608.11 and 60,913.75 is: 84,065.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,231.54 : 146,608.11 = 60,913.75 : x
  2. Step 2: Convert to fraction form
    106,231.54/146,608.11 = 60,913.75/x
  3. Step 3: Cross multiply
    106,231.54x = 146,608.11 × 60,913.75
  4. Step 4: Simplify right side
    106,231.54x = 8,930,449,393.99
  5. Step 5: Solve for x
    x = 8,930,449,393.99/106,231.54
  6. Step 6: Final answer
    x = 84,065.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.