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Finding the Fourth Proportional to 187,195.44, 280,751.76 and 54,046.80

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Solution

The fourth proportional to 187,195.44, 280,751.76 and 54,046.80 is: 81,058.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,195.44 : 280,751.76 = 54,046.80 : x
  2. Step 2: Convert to fraction form
    187,195.44/280,751.76 = 54,046.80/x
  3. Step 3: Cross multiply
    187,195.44x = 280,751.76 × 54,046.80
  4. Step 4: Simplify right side
    187,195.44x = 15,173,734,222.37
  5. Step 5: Solve for x
    x = 15,173,734,222.37/187,195.44
  6. Step 6: Final answer
    x = 81,058.25

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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.