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Finding the Fourth Proportional to 186,684.94, 280,144.13 and 75,876.94

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Solution

The fourth proportional to 186,684.94, 280,144.13 and 75,876.94 is: 113,862.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,684.94 : 280,144.13 = 75,876.94 : x
  2. Step 2: Convert to fraction form
    186,684.94/280,144.13 = 75,876.94/x
  3. Step 3: Cross multiply
    186,684.94x = 280,144.13 × 75,876.94
  4. Step 4: Simplify right side
    186,684.94x = 21,256,479,343.36
  5. Step 5: Solve for x
    x = 21,256,479,343.36/186,684.94
  6. Step 6: Final answer
    x = 113,862.85

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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.