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Finding the Fourth Proportional to 197,226, 295,839 and 65,898

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Solution

The fourth proportional to 197,226, 295,839 and 65,898 is: 98,847

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,226 : 295,839 = 65,898 : x
  2. Step 2: Convert to fraction form
    197,226/295,839 = 65,898/x
  3. Step 3: Cross multiply
    197,226x = 295,839 × 65,898
  4. Step 4: Simplify right side
    197,226x = 19,495,198,422
  5. Step 5: Solve for x
    x = 19,495,198,422/197,226
  6. Step 6: Final answer
    x = 98,847

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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.