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Finding the Fourth Proportional to 196,734, 295,101 and 65,406

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Solution

The fourth proportional to 196,734, 295,101 and 65,406 is: 98,109

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,734 : 295,101 = 65,406 : x
  2. Step 2: Convert to fraction form
    196,734/295,101 = 65,406/x
  3. Step 3: Cross multiply
    196,734x = 295,101 × 65,406
  4. Step 4: Simplify right side
    196,734x = 19,301,376,006
  5. Step 5: Solve for x
    x = 19,301,376,006/196,734
  6. Step 6: Final answer
    x = 98,109

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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.