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Finding the Fourth Proportional to 187,798.64, 281,744.19 and 54,680.00

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Solution

The fourth proportional to 187,798.64, 281,744.19 and 54,680.00 is: 82,033.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,798.64 : 281,744.19 = 54,680.00 : x
  2. Step 2: Convert to fraction form
    187,798.64/281,744.19 = 54,680.00/x
  3. Step 3: Cross multiply
    187,798.64x = 281,744.19 × 54,680.00
  4. Step 4: Simplify right side
    187,798.64x = 15,405,770,900.48
  5. Step 5: Solve for x
    x = 15,405,770,900.48/187,798.64
  6. Step 6: Final answer
    x = 82,033.46

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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.