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Finding the Fourth Proportional to 273,567.06, 410,403.78 and 105,075

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Solution

The fourth proportional to 273,567.06, 410,403.78 and 105,075 is: 157,632.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,567.06 : 410,403.78 = 105,075 : x
  2. Step 2: Convert to fraction form
    273,567.06/410,403.78 = 105,075/x
  3. Step 3: Cross multiply
    273,567.06x = 410,403.78 × 105,075
  4. Step 4: Simplify right side
    273,567.06x = 43,123,177,183.50
  5. Step 5: Solve for x
    x = 43,123,177,183.50/273,567.06
  6. Step 6: Final answer
    x = 157,632.93

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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.