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Finding the Fourth Proportional to 109,163.25, 163,744.85 and 30,277.49

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Solution

The fourth proportional to 109,163.25, 163,744.85 and 30,277.49 is: 45,416.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,163.25 : 163,744.85 = 30,277.49 : x
  2. Step 2: Convert to fraction form
    109,163.25/163,744.85 = 30,277.49/x
  3. Step 3: Cross multiply
    109,163.25x = 163,744.85 × 30,277.49
  4. Step 4: Simplify right side
    109,163.25x = 4,957,782,088.31
  5. Step 5: Solve for x
    x = 4,957,782,088.31/109,163.25
  6. Step 6: Final answer
    x = 45,416.22

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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.