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Finding the Fourth Proportional to 238,013.73, 356,845.62 and 113,442.21

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Solution

The fourth proportional to 238,013.73, 356,845.62 and 113,442.21 is: 170,079.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,013.73 : 356,845.62 = 113,442.21 : x
  2. Step 2: Convert to fraction form
    238,013.73/356,845.62 = 113,442.21/x
  3. Step 3: Cross multiply
    238,013.73x = 356,845.62 × 113,442.21
  4. Step 4: Simplify right side
    238,013.73x = 40,481,355,761.62
  5. Step 5: Solve for x
    x = 40,481,355,761.62/238,013.73
  6. Step 6: Final answer
    x = 170,079.92

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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.