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Finding the Fourth Proportional to 196,969.78, 295,429.90 and 54,825.72

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Solution

The fourth proportional to 196,969.78, 295,429.90 and 54,825.72 is: 82,231.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,969.78 : 295,429.90 = 54,825.72 : x
  2. Step 2: Convert to fraction form
    196,969.78/295,429.90 = 54,825.72/x
  3. Step 3: Cross multiply
    196,969.78x = 295,429.90 × 54,825.72
  4. Step 4: Simplify right side
    196,969.78x = 16,197,156,977.03
  5. Step 5: Solve for x
    x = 16,197,156,977.03/196,969.78
  6. Step 6: Final answer
    x = 82,231.69

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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.