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Finding the Fourth Proportional to 203,093.24, 280,277.42 and 112,449.20

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Solution

The fourth proportional to 203,093.24, 280,277.42 and 112,449.20 is: 155,184.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,093.24 : 280,277.42 = 112,449.20 : x
  2. Step 2: Convert to fraction form
    203,093.24/280,277.42 = 112,449.20/x
  3. Step 3: Cross multiply
    203,093.24x = 280,277.42 × 112,449.20
  4. Step 4: Simplify right side
    203,093.24x = 31,516,969,693.43
  5. Step 5: Solve for x
    x = 31,516,969,693.43/203,093.24
  6. Step 6: Final answer
    x = 155,184.73

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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.