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Finding the Fourth Proportional to 204,969.20, 306,870.60 and 181,641.20

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Solution

The fourth proportional to 204,969.20, 306,870.60 and 181,641.20 is: 271,944.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,969.20 : 306,870.60 = 181,641.20 : x
  2. Step 2: Convert to fraction form
    204,969.20/306,870.60 = 181,641.20/x
  3. Step 3: Cross multiply
    204,969.20x = 306,870.60 × 181,641.20
  4. Step 4: Simplify right side
    204,969.20x = 55,740,344,028.72
  5. Step 5: Solve for x
    x = 55,740,344,028.72/204,969.20
  6. Step 6: Final answer
    x = 271,944.98

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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.