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Finding the Fourth Proportional to 120,342.41, 166,078.64 and 66,633.33

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Solution

The fourth proportional to 120,342.41, 166,078.64 and 66,633.33 is: 91,957.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,342.41 : 166,078.64 = 66,633.33 : x
  2. Step 2: Convert to fraction form
    120,342.41/166,078.64 = 66,633.33/x
  3. Step 3: Cross multiply
    120,342.41x = 166,078.64 × 66,633.33
  4. Step 4: Simplify right side
    120,342.41x = 11,066,372,825.07
  5. Step 5: Solve for x
    x = 11,066,372,825.07/120,342.41
  6. Step 6: Final answer
    x = 91,957.38

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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.