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Finding the Fourth Proportional to 257,539.50, 386,178.03 and 107,739.18

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Solution

The fourth proportional to 257,539.50, 386,178.03 and 107,739.18 is: 161,553.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,539.50 : 386,178.03 = 107,739.18 : x
  2. Step 2: Convert to fraction form
    257,539.50/386,178.03 = 107,739.18/x
  3. Step 3: Cross multiply
    257,539.50x = 386,178.03 × 107,739.18
  4. Step 4: Simplify right side
    257,539.50x = 41,606,504,286.22
  5. Step 5: Solve for x
    x = 41,606,504,286.22/257,539.50
  6. Step 6: Final answer
    x = 161,553.88

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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.