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Finding the Fourth Proportional to 167,880.74, 251,662.82 and 83,561.22

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Solution

The fourth proportional to 167,880.74, 251,662.82 and 83,561.22 is: 125,263.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,880.74 : 251,662.82 = 83,561.22 : x
  2. Step 2: Convert to fraction form
    167,880.74/251,662.82 = 83,561.22/x
  3. Step 3: Cross multiply
    167,880.74x = 251,662.82 × 83,561.22
  4. Step 4: Simplify right side
    167,880.74x = 21,029,251,850.03
  5. Step 5: Solve for x
    x = 21,029,251,850.03/167,880.74
  6. Step 6: Final answer
    x = 125,263.04

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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.