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Finding the Fourth Proportional to 111,438.49, 167,201.49 and 49,065.25

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Solution

The fourth proportional to 111,438.49, 167,201.49 and 49,065.25 is: 73,617.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,438.49 : 167,201.49 = 49,065.25 : x
  2. Step 2: Convert to fraction form
    111,438.49/167,201.49 = 49,065.25/x
  3. Step 3: Cross multiply
    111,438.49x = 167,201.49 × 49,065.25
  4. Step 4: Simplify right side
    111,438.49x = 8,203,782,907.22
  5. Step 5: Solve for x
    x = 8,203,782,907.22/111,438.49
  6. Step 6: Final answer
    x = 73,617.14

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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.