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Finding the Fourth Proportional to 106,342.26, 146,738.75 and 61,022.15

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Solution

The fourth proportional to 106,342.26, 146,738.75 and 61,022.15 is: 84,202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,342.26 : 146,738.75 = 61,022.15 : x
  2. Step 2: Convert to fraction form
    106,342.26/146,738.75 = 61,022.15/x
  3. Step 3: Cross multiply
    106,342.26x = 146,738.75 × 61,022.15
  4. Step 4: Simplify right side
    106,342.26x = 8,954,314,013.31
  5. Step 5: Solve for x
    x = 8,954,314,013.31/106,342.26
  6. Step 6: Final answer
    x = 84,202.78

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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.