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Finding the Fourth Proportional to 167,080.32, 250,620.48 and 83,916

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Solution

The fourth proportional to 167,080.32, 250,620.48 and 83,916 is: 125,874

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,080.32 : 250,620.48 = 83,916 : x
  2. Step 2: Convert to fraction form
    167,080.32/250,620.48 = 83,916/x
  3. Step 3: Cross multiply
    167,080.32x = 250,620.48 × 83,916
  4. Step 4: Simplify right side
    167,080.32x = 21,031,068,199.68
  5. Step 5: Solve for x
    x = 21,031,068,199.68/167,080.32
  6. Step 6: Final answer
    x = 125,874

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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.