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Finding the Fourth Proportional to 275,505.50, 413,209.85 and 75,777.72

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Solution

The fourth proportional to 275,505.50, 413,209.85 and 75,777.72 is: 113,653.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,505.50 : 413,209.85 = 75,777.72 : x
  2. Step 2: Convert to fraction form
    275,505.50/413,209.85 = 75,777.72/x
  3. Step 3: Cross multiply
    275,505.50x = 413,209.85 × 75,777.72
  4. Step 4: Simplify right side
    275,505.50x = 31,312,099,935.65
  5. Step 5: Solve for x
    x = 31,312,099,935.65/275,505.50
  6. Step 6: Final answer
    x = 113,653.27

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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.