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Finding the Fourth Proportional to 238,286.89, 357,325.37 and 111,963.07

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Solution

The fourth proportional to 238,286.89, 357,325.37 and 111,963.07 is: 167,895.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,286.89 : 357,325.37 = 111,963.07 : x
  2. Step 2: Convert to fraction form
    238,286.89/357,325.37 = 111,963.07/x
  3. Step 3: Cross multiply
    238,286.89x = 357,325.37 × 111,963.07
  4. Step 4: Simplify right side
    238,286.89x = 40,007,245,414.09
  5. Step 5: Solve for x
    x = 40,007,245,414.09/238,286.89
  6. Step 6: Final answer
    x = 167,895.29

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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.