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Finding the Fourth Proportional to 187,302.75, 280,954.40 and 76,494.75

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Solution

The fourth proportional to 187,302.75, 280,954.40 and 76,494.75 is: 114,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,302.75 : 280,954.40 = 76,494.75 : x
  2. Step 2: Convert to fraction form
    187,302.75/280,954.40 = 76,494.75/x
  3. Step 3: Cross multiply
    187,302.75x = 280,954.40 × 76,494.75
  4. Step 4: Simplify right side
    187,302.75x = 21,491,536,589.40
  5. Step 5: Solve for x
    x = 21,491,536,589.40/187,302.75
  6. Step 6: Final answer
    x = 114,742.24

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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.