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Finding the Fourth Proportional to 196,706.20, 295,059.30 and 194,956.60

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Solution

The fourth proportional to 196,706.20, 295,059.30 and 194,956.60 is: 292,434.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,706.20 : 295,059.30 = 194,956.60 : x
  2. Step 2: Convert to fraction form
    196,706.20/295,059.30 = 194,956.60/x
  3. Step 3: Cross multiply
    196,706.20x = 295,059.30 × 194,956.60
  4. Step 4: Simplify right side
    196,706.20x = 57,523,757,926.38
  5. Step 5: Solve for x
    x = 57,523,757,926.38/196,706.20
  6. Step 6: Final answer
    x = 292,434.90

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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.