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Finding the Fourth Proportional to 120,455.98, 166,224.36 and 66,743.26

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Solution

The fourth proportional to 120,455.98, 166,224.36 and 66,743.26 is: 92,102.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,455.98 : 166,224.36 = 66,743.26 : x
  2. Step 2: Convert to fraction form
    120,455.98/166,224.36 = 66,743.26/x
  3. Step 3: Cross multiply
    120,455.98x = 166,224.36 × 66,743.26
  4. Step 4: Simplify right side
    120,455.98x = 11,094,355,677.81
  5. Step 5: Solve for x
    x = 11,094,355,677.81/120,455.98
  6. Step 6: Final answer
    x = 92,102.99

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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.