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Finding the Fourth Proportional to 362,021.20, 543,119.58 and 109,286.58

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Solution

The fourth proportional to 362,021.20, 543,119.58 and 109,286.58 is: 163,956.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,021.20 : 543,119.58 = 109,286.58 : x
  2. Step 2: Convert to fraction form
    362,021.20/543,119.58 = 109,286.58/x
  3. Step 3: Cross multiply
    362,021.20x = 543,119.58 × 109,286.58
  4. Step 4: Simplify right side
    362,021.20x = 59,355,681,429.24
  5. Step 5: Solve for x
    x = 59,355,681,429.24/362,021.20
  6. Step 6: Final answer
    x = 163,956.37

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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.