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Finding the Fourth Proportional to 114,658.54, 171,917.94 and 51,466.39

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Solution

The fourth proportional to 114,658.54, 171,917.94 and 51,466.39 is: 77,168.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,658.54 : 171,917.94 = 51,466.39 : x
  2. Step 2: Convert to fraction form
    114,658.54/171,917.94 = 51,466.39/x
  3. Step 3: Cross multiply
    114,658.54x = 171,917.94 × 51,466.39
  4. Step 4: Simplify right side
    114,658.54x = 8,847,995,511.24
  5. Step 5: Solve for x
    x = 8,847,995,511.24/114,658.54
  6. Step 6: Final answer
    x = 77,168.22

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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.