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Finding the Fourth Proportional to 242,244, 363,369.24 and 76,032

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Solution

The fourth proportional to 242,244, 363,369.24 and 76,032 is: 114,049.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,244 : 363,369.24 = 76,032 : x
  2. Step 2: Convert to fraction form
    242,244/363,369.24 = 76,032/x
  3. Step 3: Cross multiply
    242,244x = 363,369.24 × 76,032
  4. Step 4: Simplify right side
    242,244x = 27,627,690,055.68
  5. Step 5: Solve for x
    x = 27,627,690,055.68/242,244
  6. Step 6: Final answer
    x = 114,049.02

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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.