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Finding the Fourth Proportional to 187,333.92, 281,026.80 and 76,500

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Solution

The fourth proportional to 187,333.92, 281,026.80 and 76,500 is: 114,760.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,333.92 : 281,026.80 = 76,500 : x
  2. Step 2: Convert to fraction form
    187,333.92/281,026.80 = 76,500/x
  3. Step 3: Cross multiply
    187,333.92x = 281,026.80 × 76,500
  4. Step 4: Simplify right side
    187,333.92x = 21,498,550,200
  5. Step 5: Solve for x
    x = 21,498,550,200/187,333.92
  6. Step 6: Final answer
    x = 114,760.58

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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.