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Finding the Fourth Proportional to 105,961.77, 146,227.68 and 58,216.05

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Solution

The fourth proportional to 105,961.77, 146,227.68 and 58,216.05 is: 80,338.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,961.77 : 146,227.68 = 58,216.05 : x
  2. Step 2: Convert to fraction form
    105,961.77/146,227.68 = 58,216.05/x
  3. Step 3: Cross multiply
    105,961.77x = 146,227.68 × 58,216.05
  4. Step 4: Simplify right side
    105,961.77x = 8,512,797,930.26
  5. Step 5: Solve for x
    x = 8,512,797,930.26/105,961.77
  6. Step 6: Final answer
    x = 80,338.39

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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.