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Finding the Fourth Proportional to 242,096, 363,202.32 and 75,884

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Solution

The fourth proportional to 242,096, 363,202.32 and 75,884 is: 113,844.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,096 : 363,202.32 = 75,884 : x
  2. Step 2: Convert to fraction form
    242,096/363,202.32 = 75,884/x
  3. Step 3: Cross multiply
    242,096x = 363,202.32 × 75,884
  4. Step 4: Simplify right side
    242,096x = 27,561,244,850.88
  5. Step 5: Solve for x
    x = 27,561,244,850.88/242,096
  6. Step 6: Final answer
    x = 113,844.28

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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.