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Finding the Fourth Proportional to 196,963.53, 295,420.62 and 54,819.48

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Solution

The fourth proportional to 196,963.53, 295,420.62 and 54,819.48 is: 82,222.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,963.53 : 295,420.62 = 54,819.48 : x
  2. Step 2: Convert to fraction form
    196,963.53/295,420.62 = 54,819.48/x
  3. Step 3: Cross multiply
    196,963.53x = 295,420.62 × 54,819.48
  4. Step 4: Simplify right side
    196,963.53x = 16,194,804,769.68
  5. Step 5: Solve for x
    x = 16,194,804,769.68/196,963.53
  6. Step 6: Final answer
    x = 82,222.35

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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.