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Finding the Fourth Proportional to 197,427.36, 295,961.84 and 102,546.64

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Solution

The fourth proportional to 197,427.36, 295,961.84 and 102,546.64 is: 153,726.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,427.36 : 295,961.84 = 102,546.64 : x
  2. Step 2: Convert to fraction form
    197,427.36/295,961.84 = 102,546.64/x
  3. Step 3: Cross multiply
    197,427.36x = 295,961.84 × 102,546.64
  4. Step 4: Simplify right side
    197,427.36x = 30,349,892,260.22
  5. Step 5: Solve for x
    x = 30,349,892,260.22/197,427.36
  6. Step 6: Final answer
    x = 153,726.88

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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.