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Finding the Fourth Proportional to 187,094.89, 280,576.32 and 53,939.26

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Solution

The fourth proportional to 187,094.89, 280,576.32 and 53,939.26 is: 80,889.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,094.89 : 280,576.32 = 53,939.26 : x
  2. Step 2: Convert to fraction form
    187,094.89/280,576.32 = 53,939.26/x
  3. Step 3: Cross multiply
    187,094.89x = 280,576.32 × 53,939.26
  4. Step 4: Simplify right side
    187,094.89x = 15,134,079,074.32
  5. Step 5: Solve for x
    x = 15,134,079,074.32/187,094.89
  6. Step 6: Final answer
    x = 80,889.86

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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.