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Finding the Fourth Proportional to 182,236.56, 273,456.90 and 77,134.20

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Solution

The fourth proportional to 182,236.56, 273,456.90 and 77,134.20 is: 115,744.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,236.56 : 273,456.90 = 77,134.20 : x
  2. Step 2: Convert to fraction form
    182,236.56/273,456.90 = 77,134.20/x
  3. Step 3: Cross multiply
    182,236.56x = 273,456.90 × 77,134.20
  4. Step 4: Simplify right side
    182,236.56x = 21,092,879,215.98
  5. Step 5: Solve for x
    x = 21,092,879,215.98/182,236.56
  6. Step 6: Final answer
    x = 115,744.50

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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.