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Finding the Fourth Proportional to 114,135.87, 171,111 and 47,625.54

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Solution

The fourth proportional to 114,135.87, 171,111 and 47,625.54 is: 71,399.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,135.87 : 171,111 = 47,625.54 : x
  2. Step 2: Convert to fraction form
    114,135.87/171,111 = 47,625.54/x
  3. Step 3: Cross multiply
    114,135.87x = 171,111 × 47,625.54
  4. Step 4: Simplify right side
    114,135.87x = 8,149,253,774.94
  5. Step 5: Solve for x
    x = 8,149,253,774.94/114,135.87
  6. Step 6: Final answer
    x = 71,399.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.