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Finding the Fourth Proportional to 216,020.42, 324,311.30 and 166,135.86

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Solution

The fourth proportional to 216,020.42, 324,311.30 and 166,135.86 is: 249,419.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,020.42 : 324,311.30 = 166,135.86 : x
  2. Step 2: Convert to fraction form
    216,020.42/324,311.30 = 166,135.86/x
  3. Step 3: Cross multiply
    216,020.42x = 324,311.30 × 166,135.86
  4. Step 4: Simplify right side
    216,020.42x = 53,879,735,902.54
  5. Step 5: Solve for x
    x = 53,879,735,902.54/216,020.42
  6. Step 6: Final answer
    x = 249,419.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.