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Finding the Fourth Proportional to 264,550.80, 365,098.32 and 149,828

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Solution

The fourth proportional to 264,550.80, 365,098.32 and 149,828 is: 206,772.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,550.80 : 365,098.32 = 149,828 : x
  2. Step 2: Convert to fraction form
    264,550.80/365,098.32 = 149,828/x
  3. Step 3: Cross multiply
    264,550.80x = 365,098.32 × 149,828
  4. Step 4: Simplify right side
    264,550.80x = 54,701,951,088.96
  5. Step 5: Solve for x
    x = 54,701,951,088.96/264,550.80
  6. Step 6: Final answer
    x = 206,772.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.