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Finding the Fourth Proportional to 187,196.44, 280,753.26 and 54,047.80

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Solution

The fourth proportional to 187,196.44, 280,753.26 and 54,047.80 is: 81,059.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,196.44 : 280,753.26 = 54,047.80 : x
  2. Step 2: Convert to fraction form
    187,196.44/280,753.26 = 54,047.80/x
  3. Step 3: Cross multiply
    187,196.44x = 280,753.26 × 54,047.80
  4. Step 4: Simplify right side
    187,196.44x = 15,174,096,045.83
  5. Step 5: Solve for x
    x = 15,174,096,045.83/187,196.44
  6. Step 6: Final answer
    x = 81,059.75

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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.