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Finding the Fourth Proportional to 196,021, 270,511.14 and 106,597

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Solution

The fourth proportional to 196,021, 270,511.14 and 106,597 is: 147,105.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,021 : 270,511.14 = 106,597 : x
  2. Step 2: Convert to fraction form
    196,021/270,511.14 = 106,597/x
  3. Step 3: Cross multiply
    196,021x = 270,511.14 × 106,597
  4. Step 4: Simplify right side
    196,021x = 28,835,675,990.58
  5. Step 5: Solve for x
    x = 28,835,675,990.58/196,021
  6. Step 6: Final answer
    x = 147,105.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.