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Finding the Fourth Proportional to 196,706.82, 295,059.96 and 78,461.19

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Solution

The fourth proportional to 196,706.82, 295,059.96 and 78,461.19 is: 117,691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,706.82 : 295,059.96 = 78,461.19 : x
  2. Step 2: Convert to fraction form
    196,706.82/295,059.96 = 78,461.19/x
  3. Step 3: Cross multiply
    196,706.82x = 295,059.96 × 78,461.19
  4. Step 4: Simplify right side
    196,706.82x = 23,150,755,582.95
  5. Step 5: Solve for x
    x = 23,150,755,582.95/196,706.82
  6. Step 6: Final answer
    x = 117,691.68

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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.