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Finding the Fourth Proportional to 187,838.91, 281,758.91 and 54,722.43

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Solution

The fourth proportional to 187,838.91, 281,758.91 and 54,722.43 is: 82,083.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,838.91 : 281,758.91 = 54,722.43 : x
  2. Step 2: Convert to fraction form
    187,838.91/281,758.91 = 54,722.43/x
  3. Step 3: Cross multiply
    187,838.91x = 281,758.91 × 54,722.43
  4. Step 4: Simplify right side
    187,838.91x = 15,418,531,955.74
  5. Step 5: Solve for x
    x = 15,418,531,955.74/187,838.91
  6. Step 6: Final answer
    x = 82,083.80

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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.