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Finding the Fourth Proportional to 114,168, 171,203.76 and 34,217.31

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Solution

The fourth proportional to 114,168, 171,203.76 and 34,217.31 is: 51,311.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,168 : 171,203.76 = 34,217.31 : x
  2. Step 2: Convert to fraction form
    114,168/171,203.76 = 34,217.31/x
  3. Step 3: Cross multiply
    114,168x = 171,203.76 × 34,217.31
  4. Step 4: Simplify right side
    114,168x = 5,858,132,129.09
  5. Step 5: Solve for x
    x = 5,858,132,129.09/114,168
  6. Step 6: Final answer
    x = 51,311.51

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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.