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Finding the Fourth Proportional to 194,858.40, 292,066.36 and 82,468.48

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Solution

The fourth proportional to 194,858.40, 292,066.36 and 82,468.48 is: 123,609.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,858.40 : 292,066.36 = 82,468.48 : x
  2. Step 2: Convert to fraction form
    194,858.40/292,066.36 = 82,468.48/x
  3. Step 3: Cross multiply
    194,858.40x = 292,066.36 × 82,468.48
  4. Step 4: Simplify right side
    194,858.40x = 24,086,268,768.33
  5. Step 5: Solve for x
    x = 24,086,268,768.33/194,858.40
  6. Step 6: Final answer
    x = 123,609.09

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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.