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Finding the Fourth Proportional to 164,773.44, 227,266.56 and 108,164.16

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Solution

The fourth proportional to 164,773.44, 227,266.56 and 108,164.16 is: 149,187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,773.44 : 227,266.56 = 108,164.16 : x
  2. Step 2: Convert to fraction form
    164,773.44/227,266.56 = 108,164.16/x
  3. Step 3: Cross multiply
    164,773.44x = 227,266.56 × 108,164.16
  4. Step 4: Simplify right side
    164,773.44x = 24,582,096,558.49
  5. Step 5: Solve for x
    x = 24,582,096,558.49/164,773.44
  6. Step 6: Final answer
    x = 149,187.25

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Why These Related Problems?

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