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Finding the Fourth Proportional to 273,274.80, 409,912.20 and 86,305.20

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Solution

The fourth proportional to 273,274.80, 409,912.20 and 86,305.20 is: 129,457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,274.80 : 409,912.20 = 86,305.20 : x
  2. Step 2: Convert to fraction form
    273,274.80/409,912.20 = 86,305.20/x
  3. Step 3: Cross multiply
    273,274.80x = 409,912.20 × 86,305.20
  4. Step 4: Simplify right side
    273,274.80x = 35,377,554,403.44
  5. Step 5: Solve for x
    x = 35,377,554,403.44/273,274.80
  6. Step 6: Final answer
    x = 129,457.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.