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Finding the Fourth Proportional to 111,441.49, 167,205.98 and 49,068.25

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Solution

The fourth proportional to 111,441.49, 167,205.98 and 49,068.25 is: 73,621.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,441.49 : 167,205.98 = 49,068.25 : x
  2. Step 2: Convert to fraction form
    111,441.49/167,205.98 = 49,068.25/x
  3. Step 3: Cross multiply
    111,441.49x = 167,205.98 × 49,068.25
  4. Step 4: Simplify right side
    111,441.49x = 8,204,504,828.14
  5. Step 5: Solve for x
    x = 8,204,504,828.14/111,441.49
  6. Step 6: Final answer
    x = 73,621.64

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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.