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Finding the Fourth Proportional to 365,164.20, 547,952.58 and 196,680.96

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Solution

The fourth proportional to 365,164.20, 547,952.58 and 196,680.96 is: 295,132.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,164.20 : 547,952.58 = 196,680.96 : x
  2. Step 2: Convert to fraction form
    365,164.20/547,952.58 = 196,680.96/x
  3. Step 3: Cross multiply
    365,164.20x = 547,952.58 × 196,680.96
  4. Step 4: Simplify right side
    365,164.20x = 107,771,839,468.88
  5. Step 5: Solve for x
    x = 107,771,839,468.88/365,164.20
  6. Step 6: Final answer
    x = 295,132.54

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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.