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Finding the Fourth Proportional to 96,504.80, 144,872.40 and 54,418.40

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Solution

The fourth proportional to 96,504.80, 144,872.40 and 54,418.40 is: 81,692.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,504.80 : 144,872.40 = 54,418.40 : x
  2. Step 2: Convert to fraction form
    96,504.80/144,872.40 = 54,418.40/x
  3. Step 3: Cross multiply
    96,504.80x = 144,872.40 × 54,418.40
  4. Step 4: Simplify right side
    96,504.80x = 7,883,724,212.16
  5. Step 5: Solve for x
    x = 7,883,724,212.16/96,504.80
  6. Step 6: Final answer
    x = 81,692.56

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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.