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Finding the Fourth Proportional to 242,019.62, 363,052.19 and 71,241.44

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Solution

The fourth proportional to 242,019.62, 363,052.19 and 71,241.44 is: 106,868.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,019.62 : 363,052.19 = 71,241.44 : x
  2. Step 2: Convert to fraction form
    242,019.62/363,052.19 = 71,241.44/x
  3. Step 3: Cross multiply
    242,019.62x = 363,052.19 × 71,241.44
  4. Step 4: Simplify right side
    242,019.62x = 25,864,362,236.85
  5. Step 5: Solve for x
    x = 25,864,362,236.85/242,019.62
  6. Step 6: Final answer
    x = 106,868.87

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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.