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Finding the Fourth Proportional to 203,238.33, 280,470.86 and 112,596.22

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Solution

The fourth proportional to 203,238.33, 280,470.86 and 112,596.22 is: 155,383.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,238.33 : 280,470.86 = 112,596.22 : x
  2. Step 2: Convert to fraction form
    203,238.33/280,470.86 = 112,596.22/x
  3. Step 3: Cross multiply
    203,238.33x = 280,470.86 × 112,596.22
  4. Step 4: Simplify right side
    203,238.33x = 31,579,958,656.15
  5. Step 5: Solve for x
    x = 31,579,958,656.15/203,238.33
  6. Step 6: Final answer
    x = 155,383.87

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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.