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Finding the Fourth Proportional to 101,911.14, 152,890.86 and 100,216.68

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Solution

The fourth proportional to 101,911.14, 152,890.86 and 100,216.68 is: 150,348.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,911.14 : 152,890.86 = 100,216.68 : x
  2. Step 2: Convert to fraction form
    101,911.14/152,890.86 = 100,216.68/x
  3. Step 3: Cross multiply
    101,911.14x = 152,890.86 × 100,216.68
  4. Step 4: Simplify right side
    101,911.14x = 15,322,214,391.54
  5. Step 5: Solve for x
    x = 15,322,214,391.54/101,911.14
  6. Step 6: Final answer
    x = 150,348.77

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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.