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Finding the Fourth Proportional to 196,706.52, 295,119.90 and 82,913.24

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Solution

The fourth proportional to 196,706.52, 295,119.90 and 82,913.24 is: 124,395.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,706.52 : 295,119.90 = 82,913.24 : x
  2. Step 2: Convert to fraction form
    196,706.52/295,119.90 = 82,913.24/x
  3. Step 3: Cross multiply
    196,706.52x = 295,119.90 × 82,913.24
  4. Step 4: Simplify right side
    196,706.52x = 24,469,347,097.48
  5. Step 5: Solve for x
    x = 24,469,347,097.48/196,706.52
  6. Step 6: Final answer
    x = 124,395.20

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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.