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Finding the Fourth Proportional to 253,777.25, 350,224.08 and 140,600

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Solution

The fourth proportional to 253,777.25, 350,224.08 and 140,600 is: 194,034.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,777.25 : 350,224.08 = 140,600 : x
  2. Step 2: Convert to fraction form
    253,777.25/350,224.08 = 140,600/x
  3. Step 3: Cross multiply
    253,777.25x = 350,224.08 × 140,600
  4. Step 4: Simplify right side
    253,777.25x = 49,241,505,648
  5. Step 5: Solve for x
    x = 49,241,505,648/253,777.25
  6. Step 6: Final answer
    x = 194,034.36

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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.