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Finding the Fourth Proportional to 154,504.25, 231,860.25 and 54,664.05

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Solution

The fourth proportional to 154,504.25, 231,860.25 and 54,664.05 is: 82,032.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,504.25 : 231,860.25 = 54,664.05 : x
  2. Step 2: Convert to fraction form
    154,504.25/231,860.25 = 54,664.05/x
  3. Step 3: Cross multiply
    154,504.25x = 231,860.25 × 54,664.05
  4. Step 4: Simplify right side
    154,504.25x = 12,674,420,299.01
  5. Step 5: Solve for x
    x = 12,674,420,299.01/154,504.25
  6. Step 6: Final answer
    x = 82,032.83

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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.