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Finding the Fourth Proportional to 114,204, 171,373.50 and 63,645.24

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Solution

The fourth proportional to 114,204, 171,373.50 and 63,645.24 is: 95,505.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,204 : 171,373.50 = 63,645.24 : x
  2. Step 2: Convert to fraction form
    114,204/171,373.50 = 63,645.24/x
  3. Step 3: Cross multiply
    114,204x = 171,373.50 × 63,645.24
  4. Step 4: Simplify right side
    114,204x = 10,907,107,537.14
  5. Step 5: Solve for x
    x = 10,907,107,537.14/114,204
  6. Step 6: Final answer
    x = 95,505.48

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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.