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Finding the Fourth Proportional to 196,103.40, 294,116.34 and 53,911.98

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Solution

The fourth proportional to 196,103.40, 294,116.34 and 53,911.98 is: 80,857.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,103.40 : 294,116.34 = 53,911.98 : x
  2. Step 2: Convert to fraction form
    196,103.40/294,116.34 = 53,911.98/x
  3. Step 3: Cross multiply
    196,103.40x = 294,116.34 × 53,911.98
  4. Step 4: Simplify right side
    196,103.40x = 15,856,394,239.75
  5. Step 5: Solve for x
    x = 15,856,394,239.75/196,103.40
  6. Step 6: Final answer
    x = 80,857.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.