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Finding the Fourth Proportional to 109,713.89, 164,556.26 and 43,136.15

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Solution

The fourth proportional to 109,713.89, 164,556.26 and 43,136.15 is: 64,698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,713.89 : 164,556.26 = 43,136.15 : x
  2. Step 2: Convert to fraction form
    109,713.89/164,556.26 = 43,136.15/x
  3. Step 3: Cross multiply
    109,713.89x = 164,556.26 × 43,136.15
  4. Step 4: Simplify right side
    109,713.89x = 7,098,322,638.10
  5. Step 5: Solve for x
    x = 7,098,322,638.10/109,713.89
  6. Step 6: Final answer
    x = 64,698.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.