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Finding the Fourth Proportional to 275,923.56, 413,961.66 and 109,828.20

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Solution

The fourth proportional to 275,923.56, 413,961.66 and 109,828.20 is: 164,772.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,923.56 : 413,961.66 = 109,828.20 : x
  2. Step 2: Convert to fraction form
    275,923.56/413,961.66 = 109,828.20/x
  3. Step 3: Cross multiply
    275,923.56x = 413,961.66 × 109,828.20
  4. Step 4: Simplify right side
    275,923.56x = 45,464,663,986.81
  5. Step 5: Solve for x
    x = 45,464,663,986.81/275,923.56
  6. Step 6: Final answer
    x = 164,772.68

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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.