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Finding the Fourth Proportional to 106,056.18, 146,343.38 and 65,755.31

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Solution

The fourth proportional to 106,056.18, 146,343.38 and 65,755.31 is: 90,733.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,056.18 : 146,343.38 = 65,755.31 : x
  2. Step 2: Convert to fraction form
    106,056.18/146,343.38 = 65,755.31/x
  3. Step 3: Cross multiply
    106,056.18x = 146,343.38 × 65,755.31
  4. Step 4: Simplify right side
    106,056.18x = 9,622,853,257.85
  5. Step 5: Solve for x
    x = 9,622,853,257.85/106,056.18
  6. Step 6: Final answer
    x = 90,733.55

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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.