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Finding the Fourth Proportional to 175,495.92, 263,249.64 and 50,838

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Solution

The fourth proportional to 175,495.92, 263,249.64 and 50,838 is: 76,258.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,495.92 : 263,249.64 = 50,838 : x
  2. Step 2: Convert to fraction form
    175,495.92/263,249.64 = 50,838/x
  3. Step 3: Cross multiply
    175,495.92x = 263,249.64 × 50,838
  4. Step 4: Simplify right side
    175,495.92x = 13,383,085,198.32
  5. Step 5: Solve for x
    x = 13,383,085,198.32/175,495.92
  6. Step 6: Final answer
    x = 76,258.67

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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.