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Finding the Fourth Proportional to 242,841.38, 335,121.11 and 142,239.38

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Solution

The fourth proportional to 242,841.38, 335,121.11 and 142,239.38 is: 196,290.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,841.38 : 335,121.11 = 142,239.38 : x
  2. Step 2: Convert to fraction form
    242,841.38/335,121.11 = 142,239.38/x
  3. Step 3: Cross multiply
    242,841.38x = 335,121.11 × 142,239.38
  4. Step 4: Simplify right side
    242,841.38x = 47,667,416,524.51
  5. Step 5: Solve for x
    x = 47,667,416,524.51/242,841.38
  6. Step 6: Final answer
    x = 196,290.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.