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Finding the Fourth Proportional to 164,907, 227,589.89 and 93,286.40

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Solution

The fourth proportional to 164,907, 227,589.89 and 93,286.40 is: 128,745.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,907 : 227,589.89 = 93,286.40 : x
  2. Step 2: Convert to fraction form
    164,907/227,589.89 = 93,286.40/x
  3. Step 3: Cross multiply
    164,907x = 227,589.89 × 93,286.40
  4. Step 4: Simplify right side
    164,907x = 21,231,039,910.11
  5. Step 5: Solve for x
    x = 21,231,039,910.11/164,907
  6. Step 6: Final answer
    x = 128,745.53

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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.