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Finding the Fourth Proportional to 275,362.38, 412,803 and 106,766.55

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Solution

The fourth proportional to 275,362.38, 412,803 and 106,766.55 is: 160,056.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,362.38 : 412,803 = 106,766.55 : x
  2. Step 2: Convert to fraction form
    275,362.38/412,803 = 106,766.55/x
  3. Step 3: Cross multiply
    275,362.38x = 412,803 × 106,766.55
  4. Step 4: Simplify right side
    275,362.38x = 44,073,552,139.65
  5. Step 5: Solve for x
    x = 44,073,552,139.65/275,362.38
  6. Step 6: Final answer
    x = 160,056.55

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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.