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Finding the Fourth Proportional to 215,840.20, 323,760.30 and 166,016.20

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Solution

The fourth proportional to 215,840.20, 323,760.30 and 166,016.20 is: 249,024.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,840.20 : 323,760.30 = 166,016.20 : x
  2. Step 2: Convert to fraction form
    215,840.20/323,760.30 = 166,016.20/x
  3. Step 3: Cross multiply
    215,840.20x = 323,760.30 × 166,016.20
  4. Step 4: Simplify right side
    215,840.20x = 53,749,454,716.86
  5. Step 5: Solve for x
    x = 53,749,454,716.86/215,840.20
  6. Step 6: Final answer
    x = 249,024.30

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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.