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Finding the Fourth Proportional to 219,811.43, 329,200.44 and 107,138.54

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Solution

The fourth proportional to 219,811.43, 329,200.44 and 107,138.54 is: 160,455.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,811.43 : 329,200.44 = 107,138.54 : x
  2. Step 2: Convert to fraction form
    219,811.43/329,200.44 = 107,138.54/x
  3. Step 3: Cross multiply
    219,811.43x = 329,200.44 × 107,138.54
  4. Step 4: Simplify right side
    219,811.43x = 35,270,052,862.96
  5. Step 5: Solve for x
    x = 35,270,052,862.96/219,811.43
  6. Step 6: Final answer
    x = 160,455.96

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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.