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Finding the Fourth Proportional to 186,894.75, 280,458.78 and 76,086.75

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Solution

The fourth proportional to 186,894.75, 280,458.78 and 76,086.75 is: 114,177.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,894.75 : 280,458.78 = 76,086.75 : x
  2. Step 2: Convert to fraction form
    186,894.75/280,458.78 = 76,086.75/x
  3. Step 3: Cross multiply
    186,894.75x = 280,458.78 × 76,086.75
  4. Step 4: Simplify right side
    186,894.75x = 21,339,197,079.17
  5. Step 5: Solve for x
    x = 21,339,197,079.17/186,894.75
  6. Step 6: Final answer
    x = 114,177.62

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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.