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Finding the Fourth Proportional to 106,221.12, 146,584.02 and 58,473.48

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Solution

The fourth proportional to 106,221.12, 146,584.02 and 58,473.48 is: 80,692.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,221.12 : 146,584.02 = 58,473.48 : x
  2. Step 2: Convert to fraction form
    106,221.12/146,584.02 = 58,473.48/x
  3. Step 3: Cross multiply
    106,221.12x = 146,584.02 × 58,473.48
  4. Step 4: Simplify right side
    106,221.12x = 8,571,277,761.79
  5. Step 5: Solve for x
    x = 8,571,277,761.79/106,221.12
  6. Step 6: Final answer
    x = 80,692.78

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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.