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Finding the Fourth Proportional to 275,816.09, 413,715.87 and 76,148.66

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Solution

The fourth proportional to 275,816.09, 413,715.87 and 76,148.66 is: 114,220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,816.09 : 413,715.87 = 76,148.66 : x
  2. Step 2: Convert to fraction form
    275,816.09/413,715.87 = 76,148.66/x
  3. Step 3: Cross multiply
    275,816.09x = 413,715.87 × 76,148.66
  4. Step 4: Simplify right side
    275,816.09x = 31,503,909,121.23
  5. Step 5: Solve for x
    x = 31,503,909,121.23/275,816.09
  6. Step 6: Final answer
    x = 114,220.71

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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.