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Finding the Fourth Proportional to 106,092.89, 146,405.26 and 58,346.27

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Solution

The fourth proportional to 106,092.89, 146,405.26 and 58,346.27 is: 80,516.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,092.89 : 146,405.26 = 58,346.27 : x
  2. Step 2: Convert to fraction form
    106,092.89/146,405.26 = 58,346.27/x
  3. Step 3: Cross multiply
    106,092.89x = 146,405.26 × 58,346.27
  4. Step 4: Simplify right side
    106,092.89x = 8,542,201,460.79
  5. Step 5: Solve for x
    x = 8,542,201,460.79/106,092.89
  6. Step 6: Final answer
    x = 80,516.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.