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Finding the Fourth Proportional to 102,481.20, 153,721.80 and 55,825.20

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Solution

The fourth proportional to 102,481.20, 153,721.80 and 55,825.20 is: 83,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,481.20 : 153,721.80 = 55,825.20 : x
  2. Step 2: Convert to fraction form
    102,481.20/153,721.80 = 55,825.20/x
  3. Step 3: Cross multiply
    102,481.20x = 153,721.80 × 55,825.20
  4. Step 4: Simplify right side
    102,481.20x = 8,581,550,229.36
  5. Step 5: Solve for x
    x = 8,581,550,229.36/102,481.20
  6. Step 6: Final answer
    x = 83,737.80

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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.