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Finding the Fourth Proportional to 119,163.44, 164,445.03 and 65,449.50

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Solution

The fourth proportional to 119,163.44, 164,445.03 and 65,449.50 is: 90,320.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,163.44 : 164,445.03 = 65,449.50 : x
  2. Step 2: Convert to fraction form
    119,163.44/164,445.03 = 65,449.50/x
  3. Step 3: Cross multiply
    119,163.44x = 164,445.03 × 65,449.50
  4. Step 4: Simplify right side
    119,163.44x = 10,762,844,990.99
  5. Step 5: Solve for x
    x = 10,762,844,990.99/119,163.44
  6. Step 6: Final answer
    x = 90,320.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.