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Finding the Fourth Proportional to 204,002.40, 306,003.60 and 181,257.60

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Solution

The fourth proportional to 204,002.40, 306,003.60 and 181,257.60 is: 271,886.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,002.40 : 306,003.60 = 181,257.60 : x
  2. Step 2: Convert to fraction form
    204,002.40/306,003.60 = 181,257.60/x
  3. Step 3: Cross multiply
    204,002.40x = 306,003.60 × 181,257.60
  4. Step 4: Simplify right side
    204,002.40x = 55,465,478,127.36
  5. Step 5: Solve for x
    x = 55,465,478,127.36/204,002.40
  6. Step 6: Final answer
    x = 271,886.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.