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Finding the Fourth Proportional to 196,843.50, 295,318.17 and 78,597.95

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Solution

The fourth proportional to 196,843.50, 295,318.17 and 78,597.95 is: 117,918.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,843.50 : 295,318.17 = 78,597.95 : x
  2. Step 2: Convert to fraction form
    196,843.50/295,318.17 = 78,597.95/x
  3. Step 3: Cross multiply
    196,843.50x = 295,318.17 × 78,597.95
  4. Step 4: Simplify right side
    196,843.50x = 23,211,401,283.16
  5. Step 5: Solve for x
    x = 23,211,401,283.16/196,843.50
  6. Step 6: Final answer
    x = 117,918.05

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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.