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Finding the Fourth Proportional to 171,828.30, 257,851.80 and 100,750.80

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Solution

The fourth proportional to 171,828.30, 257,851.80 and 100,750.80 is: 151,190.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,828.30 : 257,851.80 = 100,750.80 : x
  2. Step 2: Convert to fraction form
    171,828.30/257,851.80 = 100,750.80/x
  3. Step 3: Cross multiply
    171,828.30x = 257,851.80 × 100,750.80
  4. Step 4: Simplify right side
    171,828.30x = 25,978,775,131.44
  5. Step 5: Solve for x
    x = 25,978,775,131.44/171,828.30
  6. Step 6: Final answer
    x = 151,190.32

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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.