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Finding the Fourth Proportional to 196,596, 294,894 and 65,268

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Solution

The fourth proportional to 196,596, 294,894 and 65,268 is: 97,902

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,596 : 294,894 = 65,268 : x
  2. Step 2: Convert to fraction form
    196,596/294,894 = 65,268/x
  3. Step 3: Cross multiply
    196,596x = 294,894 × 65,268
  4. Step 4: Simplify right side
    196,596x = 19,247,141,592
  5. Step 5: Solve for x
    x = 19,247,141,592/196,596
  6. Step 6: Final answer
    x = 97,902

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.