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Finding the Fourth Proportional to 167,768.28, 251,470.53 and 83,591.28

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Solution

The fourth proportional to 167,768.28, 251,470.53 and 83,591.28 is: 125,296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,768.28 : 251,470.53 = 83,591.28 : x
  2. Step 2: Convert to fraction form
    167,768.28/251,470.53 = 83,591.28/x
  3. Step 3: Cross multiply
    167,768.28x = 251,470.53 × 83,591.28
  4. Step 4: Simplify right side
    167,768.28x = 21,020,743,484.98
  5. Step 5: Solve for x
    x = 21,020,743,484.98/167,768.28
  6. Step 6: Final answer
    x = 125,296.29

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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.