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Finding the Fourth Proportional to 120,405.40, 166,165.46 and 72,657.96

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Solution

The fourth proportional to 120,405.40, 166,165.46 and 72,657.96 is: 100,271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,405.40 : 166,165.46 = 72,657.96 : x
  2. Step 2: Convert to fraction form
    120,405.40/166,165.46 = 72,657.96/x
  3. Step 3: Cross multiply
    120,405.40x = 166,165.46 × 72,657.96
  4. Step 4: Simplify right side
    120,405.40x = 12,073,243,346.06
  5. Step 5: Solve for x
    x = 12,073,243,346.06/120,405.40
  6. Step 6: Final answer
    x = 100,271.61

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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.