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Finding the Fourth Proportional to 203,400.90, 280,674.34 and 112,749.14

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Solution

The fourth proportional to 203,400.90, 280,674.34 and 112,749.14 is: 155,583.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,400.90 : 280,674.34 = 112,749.14 : x
  2. Step 2: Convert to fraction form
    203,400.90/280,674.34 = 112,749.14/x
  3. Step 3: Cross multiply
    203,400.90x = 280,674.34 × 112,749.14
  4. Step 4: Simplify right side
    203,400.90x = 31,645,790,874.88
  5. Step 5: Solve for x
    x = 31,645,790,874.88/203,400.90
  6. Step 6: Final answer
    x = 155,583.34

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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.