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Finding the Fourth Proportional to 187,399, 281,098.77 and 76,591

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Solution

The fourth proportional to 187,399, 281,098.77 and 76,591 is: 114,886.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,399 : 281,098.77 = 76,591 : x
  2. Step 2: Convert to fraction form
    187,399/281,098.77 = 76,591/x
  3. Step 3: Cross multiply
    187,399x = 281,098.77 × 76,591
  4. Step 4: Simplify right side
    187,399x = 21,529,635,893.07
  5. Step 5: Solve for x
    x = 21,529,635,893.07/187,399
  6. Step 6: Final answer
    x = 114,886.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.