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Finding the Fourth Proportional to 114,093.87, 157,401.32 and 76,380.27

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Solution

The fourth proportional to 114,093.87, 157,401.32 and 76,380.27 is: 105,372.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,093.87 : 157,401.32 = 76,380.27 : x
  2. Step 2: Convert to fraction form
    114,093.87/157,401.32 = 76,380.27/x
  3. Step 3: Cross multiply
    114,093.87x = 157,401.32 × 76,380.27
  4. Step 4: Simplify right side
    114,093.87x = 12,022,354,532.95
  5. Step 5: Solve for x
    x = 12,022,354,532.95/114,093.87
  6. Step 6: Final answer
    x = 105,372.49

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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.