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Finding the Fourth Proportional to 193,198.47, 289,679.85 and 86,562.78

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Solution

The fourth proportional to 193,198.47, 289,679.85 and 86,562.78 is: 129,791.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,198.47 : 289,679.85 = 86,562.78 : x
  2. Step 2: Convert to fraction form
    193,198.47/289,679.85 = 86,562.78/x
  3. Step 3: Cross multiply
    193,198.47x = 289,679.85 × 86,562.78
  4. Step 4: Simplify right side
    193,198.47x = 25,075,493,125.98
  5. Step 5: Solve for x
    x = 25,075,493,125.98/193,198.47
  6. Step 6: Final answer
    x = 129,791.36

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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.