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Finding the Fourth Proportional to 270,084.92, 404,099.46 and 163,075

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Solution

The fourth proportional to 270,084.92, 404,099.46 and 163,075 is: 243,991.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,084.92 : 404,099.46 = 163,075 : x
  2. Step 2: Convert to fraction form
    270,084.92/404,099.46 = 163,075/x
  3. Step 3: Cross multiply
    270,084.92x = 404,099.46 × 163,075
  4. Step 4: Simplify right side
    270,084.92x = 65,898,519,439.50
  5. Step 5: Solve for x
    x = 65,898,519,439.50/270,084.92
  6. Step 6: Final answer
    x = 243,991.85

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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.