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Finding the Fourth Proportional to 199,062.50, 298,593.76 and 51,318.50

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Solution

The fourth proportional to 199,062.50, 298,593.76 and 51,318.50 is: 76,977.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,062.50 : 298,593.76 = 51,318.50 : x
  2. Step 2: Convert to fraction form
    199,062.50/298,593.76 = 51,318.50/x
  3. Step 3: Cross multiply
    199,062.50x = 298,593.76 × 51,318.50
  4. Step 4: Simplify right side
    199,062.50x = 15,323,383,872.56
  5. Step 5: Solve for x
    x = 15,323,383,872.56/199,062.50
  6. Step 6: Final answer
    x = 76,977.75

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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.