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Finding the Fourth Proportional to 204,046.40, 306,069.60 and 147,767.60

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Solution

The fourth proportional to 204,046.40, 306,069.60 and 147,767.60 is: 221,651.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,046.40 : 306,069.60 = 147,767.60 : x
  2. Step 2: Convert to fraction form
    204,046.40/306,069.60 = 147,767.60/x
  3. Step 3: Cross multiply
    204,046.40x = 306,069.60 × 147,767.60
  4. Step 4: Simplify right side
    204,046.40x = 45,227,170,224.96
  5. Step 5: Solve for x
    x = 45,227,170,224.96/204,046.40
  6. Step 6: Final answer
    x = 221,651.40

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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.