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Finding the Fourth Proportional to 196,914.40, 295,414.80 and 97,122.40

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Solution

The fourth proportional to 196,914.40, 295,414.80 and 97,122.40 is: 145,704.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,914.40 : 295,414.80 = 97,122.40 : x
  2. Step 2: Convert to fraction form
    196,914.40/295,414.80 = 97,122.40/x
  3. Step 3: Cross multiply
    196,914.40x = 295,414.80 × 97,122.40
  4. Step 4: Simplify right side
    196,914.40x = 28,691,394,371.52
  5. Step 5: Solve for x
    x = 28,691,394,371.52/196,914.40
  6. Step 6: Final answer
    x = 145,704.91

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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.