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Finding the Fourth Proportional to 196,590, 294,885 and 65,262

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Solution

The fourth proportional to 196,590, 294,885 and 65,262 is: 97,893

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,590 : 294,885 = 65,262 : x
  2. Step 2: Convert to fraction form
    196,590/294,885 = 65,262/x
  3. Step 3: Cross multiply
    196,590x = 294,885 × 65,262
  4. Step 4: Simplify right side
    196,590x = 19,244,784,870
  5. Step 5: Solve for x
    x = 19,244,784,870/196,590
  6. Step 6: Final answer
    x = 97,893

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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.