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Finding the Fourth Proportional to 109,958.64, 164,825.28 and 43,371.78

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Solution

The fourth proportional to 109,958.64, 164,825.28 and 43,371.78 is: 65,013.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,958.64 : 164,825.28 = 43,371.78 : x
  2. Step 2: Convert to fraction form
    109,958.64/164,825.28 = 43,371.78/x
  3. Step 3: Cross multiply
    109,958.64x = 164,825.28 × 43,371.78
  4. Step 4: Simplify right side
    109,958.64x = 7,148,765,782.60
  5. Step 5: Solve for x
    x = 7,148,765,782.60/109,958.64
  6. Step 6: Final answer
    x = 65,013.22

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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.