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Finding the Fourth Proportional to 175,657.50, 263,493.54 and 50,998.50

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Solution

The fourth proportional to 175,657.50, 263,493.54 and 50,998.50 is: 76,499.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,657.50 : 263,493.54 = 50,998.50 : x
  2. Step 2: Convert to fraction form
    175,657.50/263,493.54 = 50,998.50/x
  3. Step 3: Cross multiply
    175,657.50x = 263,493.54 × 50,998.50
  4. Step 4: Simplify right side
    175,657.50x = 13,437,775,299.69
  5. Step 5: Solve for x
    x = 13,437,775,299.69/175,657.50
  6. Step 6: Final answer
    x = 76,499.87

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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.