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Finding the Fourth Proportional to 120,393.89, 166,144.80 and 72,638.02

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Solution

The fourth proportional to 120,393.89, 166,144.80 and 72,638.02 is: 100,241.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,393.89 : 166,144.80 = 72,638.02 : x
  2. Step 2: Convert to fraction form
    120,393.89/166,144.80 = 72,638.02/x
  3. Step 3: Cross multiply
    120,393.89x = 166,144.80 × 72,638.02
  4. Step 4: Simplify right side
    120,393.89x = 12,068,428,237.92
  5. Step 5: Solve for x
    x = 12,068,428,237.92/120,393.89
  6. Step 6: Final answer
    x = 100,241.20

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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.