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Finding the Fourth Proportional to 275,084.28, 412,538.94 and 106,592.94

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Solution

The fourth proportional to 275,084.28, 412,538.94 and 106,592.94 is: 159,855.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,084.28 : 412,538.94 = 106,592.94 : x
  2. Step 2: Convert to fraction form
    275,084.28/412,538.94 = 106,592.94/x
  3. Step 3: Cross multiply
    275,084.28x = 412,538.94 × 106,592.94
  4. Step 4: Simplify right side
    275,084.28x = 43,973,738,479.08
  5. Step 5: Solve for x
    x = 43,973,738,479.08/275,084.28
  6. Step 6: Final answer
    x = 159,855.51

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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.