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Finding the Fourth Proportional to 196,620, 294,930 and 65,292

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Solution

The fourth proportional to 196,620, 294,930 and 65,292 is: 97,938

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,620 : 294,930 = 65,292 : x
  2. Step 2: Convert to fraction form
    196,620/294,930 = 65,292/x
  3. Step 3: Cross multiply
    196,620x = 294,930 × 65,292
  4. Step 4: Simplify right side
    196,620x = 19,256,569,560
  5. Step 5: Solve for x
    x = 19,256,569,560/196,620
  6. Step 6: Final answer
    x = 97,938

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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.