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Finding the Fourth Proportional to 165,324.50, 228,147.90 and 89,873

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Solution

The fourth proportional to 165,324.50, 228,147.90 and 89,873 is: 124,024.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,324.50 : 228,147.90 = 89,873 : x
  2. Step 2: Convert to fraction form
    165,324.50/228,147.90 = 89,873/x
  3. Step 3: Cross multiply
    165,324.50x = 228,147.90 × 89,873
  4. Step 4: Simplify right side
    165,324.50x = 20,504,336,216.70
  5. Step 5: Solve for x
    x = 20,504,336,216.70/165,324.50
  6. Step 6: Final answer
    x = 124,024.79

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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.