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Finding the Fourth Proportional to 228,035.98, 314,778.46 and 204,121.30

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Solution

The fourth proportional to 228,035.98, 314,778.46 and 204,121.30 is: 281,766.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,035.98 : 314,778.46 = 204,121.30 : x
  2. Step 2: Convert to fraction form
    228,035.98/314,778.46 = 204,121.30/x
  3. Step 3: Cross multiply
    228,035.98x = 314,778.46 × 204,121.30
  4. Step 4: Simplify right side
    228,035.98x = 64,252,988,467.20
  5. Step 5: Solve for x
    x = 64,252,988,467.20/228,035.98
  6. Step 6: Final answer
    x = 281,766.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.