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Finding the Fourth Proportional to 231,204, 346,806 and 64,992

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Solution

The fourth proportional to 231,204, 346,806 and 64,992 is: 97,488

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,204 : 346,806 = 64,992 : x
  2. Step 2: Convert to fraction form
    231,204/346,806 = 64,992/x
  3. Step 3: Cross multiply
    231,204x = 346,806 × 64,992
  4. Step 4: Simplify right side
    231,204x = 22,539,615,552
  5. Step 5: Solve for x
    x = 22,539,615,552/231,204
  6. Step 6: Final answer
    x = 97,488

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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.