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Finding the Fourth Proportional to 219,469.23, 329,203.86 and 61,697.70

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Solution

The fourth proportional to 219,469.23, 329,203.86 and 61,697.70 is: 92,546.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,469.23 : 329,203.86 = 61,697.70 : x
  2. Step 2: Convert to fraction form
    219,469.23/329,203.86 = 61,697.70/x
  3. Step 3: Cross multiply
    219,469.23x = 329,203.86 × 61,697.70
  4. Step 4: Simplify right side
    219,469.23x = 20,311,120,993.12
  5. Step 5: Solve for x
    x = 20,311,120,993.12/219,469.23
  6. Step 6: Final answer
    x = 92,546.55

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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.