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Finding the Fourth Proportional to 203,200.14, 280,413.20 and 112,555.82

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Solution

The fourth proportional to 203,200.14, 280,413.20 and 112,555.82 is: 155,325.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,200.14 : 280,413.20 = 112,555.82 : x
  2. Step 2: Convert to fraction form
    203,200.14/280,413.20 = 112,555.82/x
  3. Step 3: Cross multiply
    203,200.14x = 280,413.20 × 112,555.82
  4. Step 4: Simplify right side
    203,200.14x = 31,562,137,664.82
  5. Step 5: Solve for x
    x = 31,562,137,664.82/203,200.14
  6. Step 6: Final answer
    x = 155,325.37

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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.