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Finding the Fourth Proportional to 107,822.80, 161,755.80 and 90,413.20

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Solution

The fourth proportional to 107,822.80, 161,755.80 and 90,413.20 is: 135,637.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,822.80 : 161,755.80 = 90,413.20 : x
  2. Step 2: Convert to fraction form
    107,822.80/161,755.80 = 90,413.20/x
  3. Step 3: Cross multiply
    107,822.80x = 161,755.80 × 90,413.20
  4. Step 4: Simplify right side
    107,822.80x = 14,624,859,496.56
  5. Step 5: Solve for x
    x = 14,624,859,496.56/107,822.80
  6. Step 6: Final answer
    x = 135,637.91

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Why These Related Problems?

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