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Finding the Fourth Proportional to 187,974.44, 281,978.24 and 53,039.71

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Solution

The fourth proportional to 187,974.44, 281,978.24 and 53,039.71 is: 79,564.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,974.44 : 281,978.24 = 53,039.71 : x
  2. Step 2: Convert to fraction form
    187,974.44/281,978.24 = 53,039.71/x
  3. Step 3: Cross multiply
    187,974.44x = 281,978.24 × 53,039.71
  4. Step 4: Simplify right side
    187,974.44x = 14,956,043,105.77
  5. Step 5: Solve for x
    x = 14,956,043,105.77/187,974.44
  6. Step 6: Final answer
    x = 79,564.24

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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.