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Finding the Fourth Proportional to 187,784.60, 281,723.04 and 54,666

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Solution

The fourth proportional to 187,784.60, 281,723.04 and 54,666 is: 82,012.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,784.60 : 281,723.04 = 54,666 : x
  2. Step 2: Convert to fraction form
    187,784.60/281,723.04 = 54,666/x
  3. Step 3: Cross multiply
    187,784.60x = 281,723.04 × 54,666
  4. Step 4: Simplify right side
    187,784.60x = 15,400,671,704.64
  5. Step 5: Solve for x
    x = 15,400,671,704.64/187,784.60
  6. Step 6: Final answer
    x = 82,012.43

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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.