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Finding the Fourth Proportional to 167,771.28, 251,475 and 83,594.28

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Solution

The fourth proportional to 167,771.28, 251,475 and 83,594.28 is: 125,300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,771.28 : 251,475 = 83,594.28 : x
  2. Step 2: Convert to fraction form
    167,771.28/251,475 = 83,594.28/x
  3. Step 3: Cross multiply
    167,771.28x = 251,475 × 83,594.28
  4. Step 4: Simplify right side
    167,771.28x = 21,021,871,563
  5. Step 5: Solve for x
    x = 21,021,871,563/167,771.28
  6. Step 6: Final answer
    x = 125,300.78

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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.