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Finding the Fourth Proportional to 186,684.44, 280,143.38 and 75,876.44

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Solution

The fourth proportional to 186,684.44, 280,143.38 and 75,876.44 is: 113,862.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,684.44 : 280,143.38 = 75,876.44 : x
  2. Step 2: Convert to fraction form
    186,684.44/280,143.38 = 75,876.44/x
  3. Step 3: Cross multiply
    186,684.44x = 280,143.38 × 75,876.44
  4. Step 4: Simplify right side
    186,684.44x = 21,256,282,363.97
  5. Step 5: Solve for x
    x = 21,256,282,363.97/186,684.44
  6. Step 6: Final answer
    x = 113,862.10

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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.