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Finding the Fourth Proportional to 114,120.78, 171,221.70 and 50,935.16

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Solution

The fourth proportional to 114,120.78, 171,221.70 and 50,935.16 is: 76,420.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,120.78 : 171,221.70 = 50,935.16 : x
  2. Step 2: Convert to fraction form
    114,120.78/171,221.70 = 50,935.16/x
  3. Step 3: Cross multiply
    114,120.78x = 171,221.70 × 50,935.16
  4. Step 4: Simplify right side
    114,120.78x = 8,721,204,684.97
  5. Step 5: Solve for x
    x = 8,721,204,684.97/114,120.78
  6. Step 6: Final answer
    x = 76,420.83

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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.