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Finding the Fourth Proportional to 106,261.54, 146,640.68 and 57,862.69

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Solution

The fourth proportional to 106,261.54, 146,640.68 and 57,862.69 is: 79,850.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,261.54 : 146,640.68 = 57,862.69 : x
  2. Step 2: Convert to fraction form
    106,261.54/146,640.68 = 57,862.69/x
  3. Step 3: Cross multiply
    106,261.54x = 146,640.68 × 57,862.69
  4. Step 4: Simplify right side
    106,261.54x = 8,485,023,769.30
  5. Step 5: Solve for x
    x = 8,485,023,769.30/106,261.54
  6. Step 6: Final answer
    x = 79,850.38

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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.