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Finding the Fourth Proportional to 83,172.88, 114,900 and 71,975.44

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Solution

The fourth proportional to 83,172.88, 114,900 and 71,975.44 is: 99,431.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,172.88 : 114,900 = 71,975.44 : x
  2. Step 2: Convert to fraction form
    83,172.88/114,900 = 71,975.44/x
  3. Step 3: Cross multiply
    83,172.88x = 114,900 × 71,975.44
  4. Step 4: Simplify right side
    83,172.88x = 8,269,978,056
  5. Step 5: Solve for x
    x = 8,269,978,056/83,172.88
  6. Step 6: Final answer
    x = 99,431.19

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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.