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Finding the Fourth Proportional to 203,234.85, 280,456.11 and 111,352.50

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Solution

The fourth proportional to 203,234.85, 280,456.11 and 111,352.50 is: 153,662.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,234.85 : 280,456.11 = 111,352.50 : x
  2. Step 2: Convert to fraction form
    203,234.85/280,456.11 = 111,352.50/x
  3. Step 3: Cross multiply
    203,234.85x = 280,456.11 × 111,352.50
  4. Step 4: Simplify right side
    203,234.85x = 31,229,488,988.78
  5. Step 5: Solve for x
    x = 31,229,488,988.78/203,234.85
  6. Step 6: Final answer
    x = 153,662.08

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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.