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Finding the Fourth Proportional to 196,265.85, 294,196.82 and 78,020.97

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Solution

The fourth proportional to 196,265.85, 294,196.82 and 78,020.97 is: 116,951.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,265.85 : 294,196.82 = 78,020.97 : x
  2. Step 2: Convert to fraction form
    196,265.85/294,196.82 = 78,020.97/x
  3. Step 3: Cross multiply
    196,265.85x = 294,196.82 × 78,020.97
  4. Step 4: Simplify right side
    196,265.85x = 22,953,520,877.21
  5. Step 5: Solve for x
    x = 22,953,520,877.21/196,265.85
  6. Step 6: Final answer
    x = 116,951.17

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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.