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Finding the Fourth Proportional to 187,304.75, 280,957.41 and 76,496.75

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Solution

The fourth proportional to 187,304.75, 280,957.41 and 76,496.75 is: 114,745.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,304.75 : 280,957.41 = 76,496.75 : x
  2. Step 2: Convert to fraction form
    187,304.75/280,957.41 = 76,496.75/x
  3. Step 3: Cross multiply
    187,304.75x = 280,957.41 × 76,496.75
  4. Step 4: Simplify right side
    187,304.75x = 21,492,328,753.42
  5. Step 5: Solve for x
    x = 21,492,328,753.42/187,304.75
  6. Step 6: Final answer
    x = 114,745.24

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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.