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Finding the Fourth Proportional to 273,405.10, 410,107.65 and 188,986.90

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Solution

The fourth proportional to 273,405.10, 410,107.65 and 188,986.90 is: 283,480.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,405.10 : 410,107.65 = 188,986.90 : x
  2. Step 2: Convert to fraction form
    273,405.10/410,107.65 = 188,986.90/x
  3. Step 3: Cross multiply
    273,405.10x = 410,107.65 × 188,986.90
  4. Step 4: Simplify right side
    273,405.10x = 77,504,973,439.79
  5. Step 5: Solve for x
    x = 77,504,973,439.79/273,405.10
  6. Step 6: Final answer
    x = 283,480.35

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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.