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Finding the Fourth Proportional to 275,376.88, 412,898.72 and 123,546.16

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Solution

The fourth proportional to 275,376.88, 412,898.72 and 123,546.16 is: 185,244.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,376.88 : 412,898.72 = 123,546.16 : x
  2. Step 2: Convert to fraction form
    275,376.88/412,898.72 = 123,546.16/x
  3. Step 3: Cross multiply
    275,376.88x = 412,898.72 × 123,546.16
  4. Step 4: Simplify right side
    275,376.88x = 51,012,051,324.92
  5. Step 5: Solve for x
    x = 51,012,051,324.92/275,376.88
  6. Step 6: Final answer
    x = 185,244.50

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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.