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Finding the Fourth Proportional to 120,817, 166,727.46 and 67,825

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Solution

The fourth proportional to 120,817, 166,727.46 and 67,825 is: 93,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,817 : 166,727.46 = 67,825 : x
  2. Step 2: Convert to fraction form
    120,817/166,727.46 = 67,825/x
  3. Step 3: Cross multiply
    120,817x = 166,727.46 × 67,825
  4. Step 4: Simplify right side
    120,817x = 11,308,289,974.50
  5. Step 5: Solve for x
    x = 11,308,289,974.50/120,817
  6. Step 6: Final answer
    x = 93,598.50

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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.