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Finding the Fourth Proportional to 204,522.39, 306,762.12 and 54,778.14

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Solution

The fourth proportional to 204,522.39, 306,762.12 and 54,778.14 is: 82,161.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,522.39 : 306,762.12 = 54,778.14 : x
  2. Step 2: Convert to fraction form
    204,522.39/306,762.12 = 54,778.14/x
  3. Step 3: Cross multiply
    204,522.39x = 306,762.12 × 54,778.14
  4. Step 4: Simplify right side
    204,522.39x = 16,803,858,356.06
  5. Step 5: Solve for x
    x = 16,803,858,356.06/204,522.39
  6. Step 6: Final answer
    x = 82,161.46

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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.