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Finding the Fourth Proportional to 106,144.26, 159,190.84 and 31,244.05

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Solution

The fourth proportional to 106,144.26, 159,190.84 and 31,244.05 is: 46,858.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,144.26 : 159,190.84 = 31,244.05 : x
  2. Step 2: Convert to fraction form
    106,144.26/159,190.84 = 31,244.05/x
  3. Step 3: Cross multiply
    106,144.26x = 159,190.84 × 31,244.05
  4. Step 4: Simplify right side
    106,144.26x = 4,973,766,564.50
  5. Step 5: Solve for x
    x = 4,973,766,564.50/106,144.26
  6. Step 6: Final answer
    x = 46,858.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.