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Finding the Fourth Proportional to 301,200.40, 451,282.20 and 195,965.20

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Solution

The fourth proportional to 301,200.40, 451,282.20 and 195,965.20 is: 293,610.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,200.40 : 451,282.20 = 195,965.20 : x
  2. Step 2: Convert to fraction form
    301,200.40/451,282.20 = 195,965.20/x
  3. Step 3: Cross multiply
    301,200.40x = 451,282.20 × 195,965.20
  4. Step 4: Simplify right side
    301,200.40x = 88,435,606,579.44
  5. Step 5: Solve for x
    x = 88,435,606,579.44/301,200.40
  6. Step 6: Final answer
    x = 293,610.52

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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.