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Finding the Fourth Proportional to 175,814.50, 263,765.49 and 51,155.50

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Solution

The fourth proportional to 175,814.50, 263,765.49 and 51,155.50 is: 76,745.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,814.50 : 263,765.49 = 51,155.50 : x
  2. Step 2: Convert to fraction form
    175,814.50/263,765.49 = 51,155.50/x
  3. Step 3: Cross multiply
    175,814.50x = 263,765.49 × 51,155.50
  4. Step 4: Simplify right side
    175,814.50x = 13,493,055,523.70
  5. Step 5: Solve for x
    x = 13,493,055,523.70/175,814.50
  6. Step 6: Final answer
    x = 76,745.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.