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Finding the Fourth Proportional to 228,034.98, 314,777.07 and 204,120.30

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Solution

The fourth proportional to 228,034.98, 314,777.07 and 204,120.30 is: 281,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,034.98 : 314,777.07 = 204,120.30 : x
  2. Step 2: Convert to fraction form
    228,034.98/314,777.07 = 204,120.30/x
  3. Step 3: Cross multiply
    228,034.98x = 314,777.07 × 204,120.30
  4. Step 4: Simplify right side
    228,034.98x = 64,252,389,961.52
  5. Step 5: Solve for x
    x = 64,252,389,961.52/228,034.98
  6. Step 6: Final answer
    x = 281,765.50

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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.