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Finding the Fourth Proportional to 105,076.54, 157,660.98 and 55,144.90

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Solution

The fourth proportional to 105,076.54, 157,660.98 and 55,144.90 is: 82,741.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,076.54 : 157,660.98 = 55,144.90 : x
  2. Step 2: Convert to fraction form
    105,076.54/157,660.98 = 55,144.90/x
  3. Step 3: Cross multiply
    105,076.54x = 157,660.98 × 55,144.90
  4. Step 4: Simplify right side
    105,076.54x = 8,694,198,976.00
  5. Step 5: Solve for x
    x = 8,694,198,976.00/105,076.54
  6. Step 6: Final answer
    x = 82,741.58

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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.