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Finding the Fourth Proportional to 273,716.92, 410,184.42 and 123,584.32

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Solution

The fourth proportional to 273,716.92, 410,184.42 and 123,584.32 is: 185,199.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,716.92 : 410,184.42 = 123,584.32 : x
  2. Step 2: Convert to fraction form
    273,716.92/410,184.42 = 123,584.32/x
  3. Step 3: Cross multiply
    273,716.92x = 410,184.42 × 123,584.32
  4. Step 4: Simplify right side
    273,716.92x = 50,692,362,620.29
  5. Step 5: Solve for x
    x = 50,692,362,620.29/273,716.92
  6. Step 6: Final answer
    x = 185,199.96

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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.