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Finding the Fourth Proportional to 146,752.70, 220,227.70 and 51,982.56

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Solution

The fourth proportional to 146,752.70, 220,227.70 and 51,982.56 is: 78,008.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,752.70 : 220,227.70 = 51,982.56 : x
  2. Step 2: Convert to fraction form
    146,752.70/220,227.70 = 51,982.56/x
  3. Step 3: Cross multiply
    146,752.70x = 220,227.70 × 51,982.56
  4. Step 4: Simplify right side
    146,752.70x = 11,447,999,628.91
  5. Step 5: Solve for x
    x = 11,447,999,628.91/146,752.70
  6. Step 6: Final answer
    x = 78,008.78

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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.