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Finding the Fourth Proportional to 203,382.42, 280,638.27 and 112,738.37

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Solution

The fourth proportional to 203,382.42, 280,638.27 and 112,738.37 is: 155,562.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,382.42 : 280,638.27 = 112,738.37 : x
  2. Step 2: Convert to fraction form
    203,382.42/280,638.27 = 112,738.37/x
  3. Step 3: Cross multiply
    203,382.42x = 280,638.27 × 112,738.37
  4. Step 4: Simplify right side
    203,382.42x = 31,638,699,716.23
  5. Step 5: Solve for x
    x = 31,638,699,716.23/203,382.42
  6. Step 6: Final answer
    x = 155,562.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.