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Finding the Fourth Proportional to 205,173.16, 307,804.38 and 64,933

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Solution

The fourth proportional to 205,173.16, 307,804.38 and 64,933 is: 97,413.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,173.16 : 307,804.38 = 64,933 : x
  2. Step 2: Convert to fraction form
    205,173.16/307,804.38 = 64,933/x
  3. Step 3: Cross multiply
    205,173.16x = 307,804.38 × 64,933
  4. Step 4: Simplify right side
    205,173.16x = 19,986,661,806.54
  5. Step 5: Solve for x
    x = 19,986,661,806.54/205,173.16
  6. Step 6: Final answer
    x = 97,413.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.