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Finding the Fourth Proportional to 106,084.26, 159,114.50 and 27,200.34

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Solution

The fourth proportional to 106,084.26, 159,114.50 and 27,200.34 is: 40,797.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,084.26 : 159,114.50 = 27,200.34 : x
  2. Step 2: Convert to fraction form
    106,084.26/159,114.50 = 27,200.34/x
  3. Step 3: Cross multiply
    106,084.26x = 159,114.50 × 27,200.34
  4. Step 4: Simplify right side
    106,084.26x = 4,327,968,498.93
  5. Step 5: Solve for x
    x = 4,327,968,498.93/106,084.26
  6. Step 6: Final answer
    x = 40,797.46

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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.