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Finding the Fourth Proportional to 122,014.14, 182,754.62 and 50,720.64

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Solution

The fourth proportional to 122,014.14, 182,754.62 and 50,720.64 is: 75,970.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,014.14 : 182,754.62 = 50,720.64 : x
  2. Step 2: Convert to fraction form
    122,014.14/182,754.62 = 50,720.64/x
  3. Step 3: Cross multiply
    122,014.14x = 182,754.62 × 50,720.64
  4. Step 4: Simplify right side
    122,014.14x = 9,269,431,289.36
  5. Step 5: Solve for x
    x = 9,269,431,289.36/122,014.14
  6. Step 6: Final answer
    x = 75,970.14

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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.