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Finding the Fourth Proportional to 165,193.30, 227,959.42 and 93,571.88

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Solution

The fourth proportional to 165,193.30, 227,959.42 and 93,571.88 is: 129,125.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,193.30 : 227,959.42 = 93,571.88 : x
  2. Step 2: Convert to fraction form
    165,193.30/227,959.42 = 93,571.88/x
  3. Step 3: Cross multiply
    165,193.30x = 227,959.42 × 93,571.88
  4. Step 4: Simplify right side
    165,193.30x = 21,330,591,493.11
  5. Step 5: Solve for x
    x = 21,330,591,493.11/165,193.30
  6. Step 6: Final answer
    x = 129,125.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.