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Finding the Fourth Proportional to 111,202.70, 166,785.26 and 31,222.32

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Solution

The fourth proportional to 111,202.70, 166,785.26 and 31,222.32 is: 46,828.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,202.70 : 166,785.26 = 31,222.32 : x
  2. Step 2: Convert to fraction form
    111,202.70/166,785.26 = 31,222.32/x
  3. Step 3: Cross multiply
    111,202.70x = 166,785.26 × 31,222.32
  4. Step 4: Simplify right side
    111,202.70x = 5,207,422,602.89
  5. Step 5: Solve for x
    x = 5,207,422,602.89/111,202.70
  6. Step 6: Final answer
    x = 46,828.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.