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Finding the Fourth Proportional to 186,589.44, 280,000.80 and 75,781.44

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Solution

The fourth proportional to 186,589.44, 280,000.80 and 75,781.44 is: 113,719.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,589.44 : 280,000.80 = 75,781.44 : x
  2. Step 2: Convert to fraction form
    186,589.44/280,000.80 = 75,781.44/x
  3. Step 3: Cross multiply
    186,589.44x = 280,000.80 × 75,781.44
  4. Step 4: Simplify right side
    186,589.44x = 21,218,863,825.15
  5. Step 5: Solve for x
    x = 21,218,863,825.15/186,589.44
  6. Step 6: Final answer
    x = 113,719.53

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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.