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Finding the Fourth Proportional to 109,661.30, 164,163.90 and 96,539.30

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Solution

The fourth proportional to 109,661.30, 164,163.90 and 96,539.30 is: 144,520.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,661.30 : 164,163.90 = 96,539.30 : x
  2. Step 2: Convert to fraction form
    109,661.30/164,163.90 = 96,539.30/x
  3. Step 3: Cross multiply
    109,661.30x = 164,163.90 × 96,539.30
  4. Step 4: Simplify right side
    109,661.30x = 15,848,267,991.27
  5. Step 5: Solve for x
    x = 15,848,267,991.27/109,661.30
  6. Step 6: Final answer
    x = 144,520.15

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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.