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Finding the Fourth Proportional to 165,093.86, 247,500.91 and 65,324.44

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Solution

The fourth proportional to 165,093.86, 247,500.91 and 65,324.44 is: 97,931.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,093.86 : 247,500.91 = 65,324.44 : x
  2. Step 2: Convert to fraction form
    165,093.86/247,500.91 = 65,324.44/x
  3. Step 3: Cross multiply
    165,093.86x = 247,500.91 × 65,324.44
  4. Step 4: Simplify right side
    165,093.86x = 16,167,858,736.27
  5. Step 5: Solve for x
    x = 16,167,858,736.27/165,093.86
  6. Step 6: Final answer
    x = 97,931.31

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Why These Related Problems?

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