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Finding the Fourth Proportional to 230,204, 345,462.60 and 82,460

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Solution

The fourth proportional to 230,204, 345,462.60 and 82,460 is: 123,746.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,204 : 345,462.60 = 82,460 : x
  2. Step 2: Convert to fraction form
    230,204/345,462.60 = 82,460/x
  3. Step 3: Cross multiply
    230,204x = 345,462.60 × 82,460
  4. Step 4: Simplify right side
    230,204x = 28,486,845,996.00
  5. Step 5: Solve for x
    x = 28,486,845,996.00/230,204
  6. Step 6: Final answer
    x = 123,746.09

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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.