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Finding the Fourth Proportional to 194,974.80, 292,231.80 and 82,654.80

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Solution

The fourth proportional to 194,974.80, 292,231.80 and 82,654.80 is: 123,884.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,974.80 : 292,231.80 = 82,654.80 : x
  2. Step 2: Convert to fraction form
    194,974.80/292,231.80 = 82,654.80/x
  3. Step 3: Cross multiply
    194,974.80x = 292,231.80 × 82,654.80
  4. Step 4: Simplify right side
    194,974.80x = 24,154,360,982.64
  5. Step 5: Solve for x
    x = 24,154,360,982.64/194,974.80
  6. Step 6: Final answer
    x = 123,884.53

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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.