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Finding the Fourth Proportional to 186,911.20, 280,431.60 and 81,805.60

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Solution

The fourth proportional to 186,911.20, 280,431.60 and 81,805.60 is: 122,736.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,911.20 : 280,431.60 = 81,805.60 : x
  2. Step 2: Convert to fraction form
    186,911.20/280,431.60 = 81,805.60/x
  3. Step 3: Cross multiply
    186,911.20x = 280,431.60 × 81,805.60
  4. Step 4: Simplify right side
    186,911.20x = 22,940,875,296.96
  5. Step 5: Solve for x
    x = 22,940,875,296.96/186,911.20
  6. Step 6: Final answer
    x = 122,736.76

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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.