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Finding the Fourth Proportional to 214,940.20, 322,410.30 and 188,696.20

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Solution

The fourth proportional to 214,940.20, 322,410.30 and 188,696.20 is: 283,044.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,940.20 : 322,410.30 = 188,696.20 : x
  2. Step 2: Convert to fraction form
    214,940.20/322,410.30 = 188,696.20/x
  3. Step 3: Cross multiply
    214,940.20x = 322,410.30 × 188,696.20
  4. Step 4: Simplify right side
    214,940.20x = 60,837,598,450.86
  5. Step 5: Solve for x
    x = 60,837,598,450.86/214,940.20
  6. Step 6: Final answer
    x = 283,044.30

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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.