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Finding the Fourth Proportional to 301,217.20, 451,825.80 and 165,914.80

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Solution

The fourth proportional to 301,217.20, 451,825.80 and 165,914.80 is: 248,872.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,217.20 : 451,825.80 = 165,914.80 : x
  2. Step 2: Convert to fraction form
    301,217.20/451,825.80 = 165,914.80/x
  3. Step 3: Cross multiply
    301,217.20x = 451,825.80 × 165,914.80
  4. Step 4: Simplify right side
    301,217.20x = 74,964,587,241.84
  5. Step 5: Solve for x
    x = 74,964,587,241.84/301,217.20
  6. Step 6: Final answer
    x = 248,872.20

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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.