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Finding the Fourth Proportional to 166,069, 229,278.90 and 106,556.68

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Solution

The fourth proportional to 166,069, 229,278.90 and 106,556.68 is: 147,114.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,069 : 229,278.90 = 106,556.68 : x
  2. Step 2: Convert to fraction form
    166,069/229,278.90 = 106,556.68/x
  3. Step 3: Cross multiply
    166,069x = 229,278.90 × 106,556.68
  4. Step 4: Simplify right side
    166,069x = 24,431,198,378.05
  5. Step 5: Solve for x
    x = 24,431,198,378.05/166,069
  6. Step 6: Final answer
    x = 147,114.74

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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.