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Finding the Fourth Proportional to 193,201.60, 289,853.60 and 68,529.60

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Solution

The fourth proportional to 193,201.60, 289,853.60 and 68,529.60 is: 102,812.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,201.60 : 289,853.60 = 68,529.60 : x
  2. Step 2: Convert to fraction form
    193,201.60/289,853.60 = 68,529.60/x
  3. Step 3: Cross multiply
    193,201.60x = 289,853.60 × 68,529.60
  4. Step 4: Simplify right side
    193,201.60x = 19,863,551,266.56
  5. Step 5: Solve for x
    x = 19,863,551,266.56/193,201.60
  6. Step 6: Final answer
    x = 102,812.56

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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.