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Finding the Fourth Proportional to 102,167.94, 140,992.46 and 56,847.84

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Solution

The fourth proportional to 102,167.94, 140,992.46 and 56,847.84 is: 78,450.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,167.94 : 140,992.46 = 56,847.84 : x
  2. Step 2: Convert to fraction form
    102,167.94/140,992.46 = 56,847.84/x
  3. Step 3: Cross multiply
    102,167.94x = 140,992.46 × 56,847.84
  4. Step 4: Simplify right side
    102,167.94x = 8,015,116,523.05
  5. Step 5: Solve for x
    x = 8,015,116,523.05/102,167.94
  6. Step 6: Final answer
    x = 78,450.41

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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.