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Finding the Fourth Proportional to 111,274.54, 166,977.41 and 41,203.06

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Solution

The fourth proportional to 111,274.54, 166,977.41 and 41,203.06 is: 61,828.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,274.54 : 166,977.41 = 41,203.06 : x
  2. Step 2: Convert to fraction form
    111,274.54/166,977.41 = 41,203.06/x
  3. Step 3: Cross multiply
    111,274.54x = 166,977.41 × 41,203.06
  4. Step 4: Simplify right side
    111,274.54x = 6,879,980,242.87
  5. Step 5: Solve for x
    x = 6,879,980,242.87/111,274.54
  6. Step 6: Final answer
    x = 61,828.88

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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.