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Finding the Fourth Proportional to 201,413.21, 277,944.66 and 110,769.17

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Solution

The fourth proportional to 201,413.21, 277,944.66 and 110,769.17 is: 152,858.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,413.21 : 277,944.66 = 110,769.17 : x
  2. Step 2: Convert to fraction form
    201,413.21/277,944.66 = 110,769.17/x
  3. Step 3: Cross multiply
    201,413.21x = 277,944.66 × 110,769.17
  4. Step 4: Simplify right side
    201,413.21x = 30,787,697,904.41
  5. Step 5: Solve for x
    x = 30,787,697,904.41/201,413.21
  6. Step 6: Final answer
    x = 152,858.39

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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.