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Finding the Fourth Proportional to 167,278, 250,286.80 and 117,456.52

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Solution

The fourth proportional to 167,278, 250,286.80 and 117,456.52 is: 175,742.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,278 : 250,286.80 = 117,456.52 : x
  2. Step 2: Convert to fraction form
    167,278/250,286.80 = 117,456.52/x
  3. Step 3: Cross multiply
    167,278x = 250,286.80 × 117,456.52
  4. Step 4: Simplify right side
    167,278x = 29,397,816,529.94
  5. Step 5: Solve for x
    x = 29,397,816,529.94/167,278
  6. Step 6: Final answer
    x = 175,742.28

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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.