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Finding the Fourth Proportional to 106,093.70, 146,413.94 and 58,348.78

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Solution

The fourth proportional to 106,093.70, 146,413.94 and 58,348.78 is: 80,523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,093.70 : 146,413.94 = 58,348.78 : x
  2. Step 2: Convert to fraction form
    106,093.70/146,413.94 = 58,348.78/x
  3. Step 3: Cross multiply
    106,093.70x = 146,413.94 × 58,348.78
  4. Step 4: Simplify right side
    106,093.70x = 8,543,074,773.99
  5. Step 5: Solve for x
    x = 8,543,074,773.99/106,093.70
  6. Step 6: Final answer
    x = 80,523.86

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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.