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Finding the Fourth Proportional to 120,364.22, 166,101.42 and 65,173.28

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Solution

The fourth proportional to 120,364.22, 166,101.42 and 65,173.28 is: 89,938.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,364.22 : 166,101.42 = 65,173.28 : x
  2. Step 2: Convert to fraction form
    120,364.22/166,101.42 = 65,173.28/x
  3. Step 3: Cross multiply
    120,364.22x = 166,101.42 × 65,173.28
  4. Step 4: Simplify right side
    120,364.22x = 10,825,373,523.55
  5. Step 5: Solve for x
    x = 10,825,373,523.55/120,364.22
  6. Step 6: Final answer
    x = 89,938.47

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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.