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Finding the Fourth Proportional to 187,863.94, 281,812.31 and 47,622.56

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Solution

The fourth proportional to 187,863.94, 281,812.31 and 47,622.56 is: 71,438.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,863.94 : 281,812.31 = 47,622.56 : x
  2. Step 2: Convert to fraction form
    187,863.94/281,812.31 = 47,622.56/x
  3. Step 3: Cross multiply
    187,863.94x = 281,812.31 × 47,622.56
  4. Step 4: Simplify right side
    187,863.94x = 13,420,624,465.30
  5. Step 5: Solve for x
    x = 13,420,624,465.30/187,863.94
  6. Step 6: Final answer
    x = 71,438.00

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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.