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Finding the Fourth Proportional to 187,874.64, 281,817 and 47,644.20

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Solution

The fourth proportional to 187,874.64, 281,817 and 47,644.20 is: 71,467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,874.64 : 281,817 = 47,644.20 : x
  2. Step 2: Convert to fraction form
    187,874.64/281,817 = 47,644.20/x
  3. Step 3: Cross multiply
    187,874.64x = 281,817 × 47,644.20
  4. Step 4: Simplify right side
    187,874.64x = 13,426,945,511.40
  5. Step 5: Solve for x
    x = 13,426,945,511.40/187,874.64
  6. Step 6: Final answer
    x = 71,467.58

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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.