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Finding the Fourth Proportional to 106,361.84, 159,392.34 and 58,997.78

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Solution

The fourth proportional to 106,361.84, 159,392.34 and 58,997.78 is: 88,413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,361.84 : 159,392.34 = 58,997.78 : x
  2. Step 2: Convert to fraction form
    106,361.84/159,392.34 = 58,997.78/x
  3. Step 3: Cross multiply
    106,361.84x = 159,392.34 × 58,997.78
  4. Step 4: Simplify right side
    106,361.84x = 9,403,794,209.01
  5. Step 5: Solve for x
    x = 9,403,794,209.01/106,361.84
  6. Step 6: Final answer
    x = 88,413.23

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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.