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Finding the Fourth Proportional to 204,464.20, 306,696.30 and 64,222.60

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Solution

The fourth proportional to 204,464.20, 306,696.30 and 64,222.60 is: 96,333.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,464.20 : 306,696.30 = 64,222.60 : x
  2. Step 2: Convert to fraction form
    204,464.20/306,696.30 = 64,222.60/x
  3. Step 3: Cross multiply
    204,464.20x = 306,696.30 × 64,222.60
  4. Step 4: Simplify right side
    204,464.20x = 19,696,833,796.38
  5. Step 5: Solve for x
    x = 19,696,833,796.38/204,464.20
  6. Step 6: Final answer
    x = 96,333.90

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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.