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Finding the Fourth Proportional to 273,415.98, 409,842.50 and 104,891.43

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Solution

The fourth proportional to 273,415.98, 409,842.50 and 104,891.43 is: 157,229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,415.98 : 409,842.50 = 104,891.43 : x
  2. Step 2: Convert to fraction form
    273,415.98/409,842.50 = 104,891.43/x
  3. Step 3: Cross multiply
    273,415.98x = 409,842.50 × 104,891.43
  4. Step 4: Simplify right side
    273,415.98x = 42,988,965,375.32
  5. Step 5: Solve for x
    x = 42,988,965,375.32/273,415.98
  6. Step 6: Final answer
    x = 157,229.16

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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.