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Finding the Fourth Proportional to 109,911.60, 164,922.08 and 43,353.90

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Solution

The fourth proportional to 109,911.60, 164,922.08 and 43,353.90 is: 65,052.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,911.60 : 164,922.08 = 43,353.90 : x
  2. Step 2: Convert to fraction form
    109,911.60/164,922.08 = 43,353.90/x
  3. Step 3: Cross multiply
    109,911.60x = 164,922.08 × 43,353.90
  4. Step 4: Simplify right side
    109,911.60x = 7,150,015,147.34
  5. Step 5: Solve for x
    x = 7,150,015,147.34/109,911.60
  6. Step 6: Final answer
    x = 65,052.42

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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.