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Finding the Fourth Proportional to 129,198.40, 193,801.26 and 35,704.14

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Solution

The fourth proportional to 129,198.40, 193,801.26 and 35,704.14 is: 53,557.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,198.40 : 193,801.26 = 35,704.14 : x
  2. Step 2: Convert to fraction form
    129,198.40/193,801.26 = 35,704.14/x
  3. Step 3: Cross multiply
    129,198.40x = 193,801.26 × 35,704.14
  4. Step 4: Simplify right side
    129,198.40x = 6,919,507,319.22
  5. Step 5: Solve for x
    x = 6,919,507,319.22/129,198.40
  6. Step 6: Final answer
    x = 53,557.22

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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.