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Finding the Fourth Proportional to 203,065, 280,190.82 and 131,435.08

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Solution

The fourth proportional to 203,065, 280,190.82 and 131,435.08 is: 181,355.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,065 : 280,190.82 = 131,435.08 : x
  2. Step 2: Convert to fraction form
    203,065/280,190.82 = 131,435.08/x
  3. Step 3: Cross multiply
    203,065x = 280,190.82 × 131,435.08
  4. Step 4: Simplify right side
    203,065x = 36,826,902,841.97
  5. Step 5: Solve for x
    x = 36,826,902,841.97/203,065
  6. Step 6: Final answer
    x = 181,355.25

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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.