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Finding the Fourth Proportional to 167,771.64, 251,474.96 and 83,594

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Solution

The fourth proportional to 167,771.64, 251,474.96 and 83,594 is: 125,300.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,771.64 : 251,474.96 = 83,594 : x
  2. Step 2: Convert to fraction form
    167,771.64/251,474.96 = 83,594/x
  3. Step 3: Cross multiply
    167,771.64x = 251,474.96 × 83,594
  4. Step 4: Simplify right side
    167,771.64x = 21,021,797,806.24
  5. Step 5: Solve for x
    x = 21,021,797,806.24/167,771.64
  6. Step 6: Final answer
    x = 125,300.07

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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.