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Finding the Fourth Proportional to 106,021.38, 146,311.38 and 58,274.58

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Solution

The fourth proportional to 106,021.38, 146,311.38 and 58,274.58 is: 80,419.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,021.38 : 146,311.38 = 58,274.58 : x
  2. Step 2: Convert to fraction form
    106,021.38/146,311.38 = 58,274.58/x
  3. Step 3: Cross multiply
    106,021.38x = 146,311.38 × 58,274.58
  4. Step 4: Simplify right side
    106,021.38x = 8,526,234,218.72
  5. Step 5: Solve for x
    x = 8,526,234,218.72/106,021.38
  6. Step 6: Final answer
    x = 80,419.95

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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.