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Finding the Fourth Proportional to 238,791.05, 358,049.20 and 142,824.12

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Solution

The fourth proportional to 238,791.05, 358,049.20 and 142,824.12 is: 214,154.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,791.05 : 358,049.20 = 142,824.12 : x
  2. Step 2: Convert to fraction form
    238,791.05/358,049.20 = 142,824.12/x
  3. Step 3: Cross multiply
    238,791.05x = 358,049.20 × 142,824.12
  4. Step 4: Simplify right side
    238,791.05x = 51,138,061,906.70
  5. Step 5: Solve for x
    x = 51,138,061,906.70/238,791.05
  6. Step 6: Final answer
    x = 214,154.01

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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.