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Finding the Fourth Proportional to 186,855.43, 280,116.49 and 68,499.14

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Solution

The fourth proportional to 186,855.43, 280,116.49 and 68,499.14 is: 102,687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,855.43 : 280,116.49 = 68,499.14 : x
  2. Step 2: Convert to fraction form
    186,855.43/280,116.49 = 68,499.14/x
  3. Step 3: Cross multiply
    186,855.43x = 280,116.49 × 68,499.14
  4. Step 4: Simplify right side
    186,855.43x = 19,187,738,664.82
  5. Step 5: Solve for x
    x = 19,187,738,664.82/186,855.43
  6. Step 6: Final answer
    x = 102,687.62

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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.