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Finding the Fourth Proportional to 114,495.99, 171,596.16 and 51,269.82

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Solution

The fourth proportional to 114,495.99, 171,596.16 and 51,269.82 is: 76,838.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,495.99 : 171,596.16 = 51,269.82 : x
  2. Step 2: Convert to fraction form
    114,495.99/171,596.16 = 51,269.82/x
  3. Step 3: Cross multiply
    114,495.99x = 171,596.16 × 51,269.82
  4. Step 4: Simplify right side
    114,495.99x = 8,797,704,235.89
  5. Step 5: Solve for x
    x = 8,797,704,235.89/114,495.99
  6. Step 6: Final answer
    x = 76,838.54

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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.