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Finding the Fourth Proportional to 414,121.78, 621,164.59 and 129,805.84

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Solution

The fourth proportional to 414,121.78, 621,164.59 and 129,805.84 is: 194,703.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,121.78 : 621,164.59 = 129,805.84 : x
  2. Step 2: Convert to fraction form
    414,121.78/621,164.59 = 129,805.84/x
  3. Step 3: Cross multiply
    414,121.78x = 621,164.59 × 129,805.84
  4. Step 4: Simplify right side
    414,121.78x = 80,630,791,383.21
  5. Step 5: Solve for x
    x = 80,630,791,383.21/414,121.78
  6. Step 6: Final answer
    x = 194,703.09

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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.