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Finding the Fourth Proportional to 253,782.14, 350,060.78 and 163,256

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Solution

The fourth proportional to 253,782.14, 350,060.78 and 163,256 is: 225,191.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,782.14 : 350,060.78 = 163,256 : x
  2. Step 2: Convert to fraction form
    253,782.14/350,060.78 = 163,256/x
  3. Step 3: Cross multiply
    253,782.14x = 350,060.78 × 163,256
  4. Step 4: Simplify right side
    253,782.14x = 57,149,522,699.68
  5. Step 5: Solve for x
    x = 57,149,522,699.68/253,782.14
  6. Step 6: Final answer
    x = 225,191.27

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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.