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Finding the Fourth Proportional to 120,612.51, 166,336.34 and 75,294.70

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Solution

The fourth proportional to 120,612.51, 166,336.34 and 75,294.70 is: 103,838.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,612.51 : 166,336.34 = 75,294.70 : x
  2. Step 2: Convert to fraction form
    120,612.51/166,336.34 = 75,294.70/x
  3. Step 3: Cross multiply
    120,612.51x = 166,336.34 × 75,294.70
  4. Step 4: Simplify right side
    120,612.51x = 12,524,244,027.08
  5. Step 5: Solve for x
    x = 12,524,244,027.08/120,612.51
  6. Step 6: Final answer
    x = 103,838.68

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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.