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Finding the Fourth Proportional to 149,413.77, 206,188.34 and 81,430.34

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Solution

The fourth proportional to 149,413.77, 206,188.34 and 81,430.34 is: 112,372.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,413.77 : 206,188.34 = 81,430.34 : x
  2. Step 2: Convert to fraction form
    149,413.77/206,188.34 = 81,430.34/x
  3. Step 3: Cross multiply
    149,413.77x = 206,188.34 × 81,430.34
  4. Step 4: Simplify right side
    149,413.77x = 16,789,985,192.14
  5. Step 5: Solve for x
    x = 16,789,985,192.14/149,413.77
  6. Step 6: Final answer
    x = 112,372.41

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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.