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Finding the Fourth Proportional to 170,849.80, 256,469.10 and 100,768.60

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Solution

The fourth proportional to 170,849.80, 256,469.10 and 100,768.60 is: 151,267.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,849.80 : 256,469.10 = 100,768.60 : x
  2. Step 2: Convert to fraction form
    170,849.80/256,469.10 = 100,768.60/x
  3. Step 3: Cross multiply
    170,849.80x = 256,469.10 × 100,768.60
  4. Step 4: Simplify right side
    170,849.80x = 25,844,032,150.26
  5. Step 5: Solve for x
    x = 25,844,032,150.26/170,849.80
  6. Step 6: Final answer
    x = 151,267.56

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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.