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Finding the Fourth Proportional to 301,837.36, 416,533.44 and 165,872.56

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Solution

The fourth proportional to 301,837.36, 416,533.44 and 165,872.56 is: 228,902.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,837.36 : 416,533.44 = 165,872.56 : x
  2. Step 2: Convert to fraction form
    301,837.36/416,533.44 = 165,872.56/x
  3. Step 3: Cross multiply
    301,837.36x = 416,533.44 × 165,872.56
  4. Step 4: Simplify right side
    301,837.36x = 69,091,468,018.41
  5. Step 5: Solve for x
    x = 69,091,468,018.41/301,837.36
  6. Step 6: Final answer
    x = 228,902.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.