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Finding the Fourth Proportional to 186,796.80, 280,195.20 and 164,635.20

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Solution

The fourth proportional to 186,796.80, 280,195.20 and 164,635.20 is: 246,952.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,796.80 : 280,195.20 = 164,635.20 : x
  2. Step 2: Convert to fraction form
    186,796.80/280,195.20 = 164,635.20/x
  3. Step 3: Cross multiply
    186,796.80x = 280,195.20 × 164,635.20
  4. Step 4: Simplify right side
    186,796.80x = 46,129,992,791.04
  5. Step 5: Solve for x
    x = 46,129,992,791.04/186,796.80
  6. Step 6: Final answer
    x = 246,952.80

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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.