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Finding the Fourth Proportional to 120,633.72, 166,365.54 and 75,315.84

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Solution

The fourth proportional to 120,633.72, 166,365.54 and 75,315.84 is: 103,867.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,633.72 : 166,365.54 = 75,315.84 : x
  2. Step 2: Convert to fraction form
    120,633.72/166,365.54 = 75,315.84/x
  3. Step 3: Cross multiply
    120,633.72x = 166,365.54 × 75,315.84
  4. Step 4: Simplify right side
    120,633.72x = 12,529,960,392.15
  5. Step 5: Solve for x
    x = 12,529,960,392.15/120,633.72
  6. Step 6: Final answer
    x = 103,867.81

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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.