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Finding the Fourth Proportional to 110,796.14, 166,194.21 and 51,673.16

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Solution

The fourth proportional to 110,796.14, 166,194.21 and 51,673.16 is: 77,509.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,796.14 : 166,194.21 = 51,673.16 : x
  2. Step 2: Convert to fraction form
    110,796.14/166,194.21 = 51,673.16/x
  3. Step 3: Cross multiply
    110,796.14x = 166,194.21 × 51,673.16
  4. Step 4: Simplify right side
    110,796.14x = 8,587,780,004.40
  5. Step 5: Solve for x
    x = 8,587,780,004.40/110,796.14
  6. Step 6: Final answer
    x = 77,509.74

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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.