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Finding the Fourth Proportional to 273,608.98, 410,235.81 and 113,641

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Solution

The fourth proportional to 273,608.98, 410,235.81 and 113,641 is: 170,387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,608.98 : 410,235.81 = 113,641 : x
  2. Step 2: Convert to fraction form
    273,608.98/410,235.81 = 113,641/x
  3. Step 3: Cross multiply
    273,608.98x = 410,235.81 × 113,641
  4. Step 4: Simplify right side
    273,608.98x = 46,619,607,684.21
  5. Step 5: Solve for x
    x = 46,619,607,684.21/273,608.98
  6. Step 6: Final answer
    x = 170,387.71

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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.