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Finding the Fourth Proportional to 187,094.75, 280,608.35 and 53,942.27

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Solution

The fourth proportional to 187,094.75, 280,608.35 and 53,942.27 is: 80,903.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,094.75 : 280,608.35 = 53,942.27 : x
  2. Step 2: Convert to fraction form
    187,094.75/280,608.35 = 53,942.27/x
  3. Step 3: Cross multiply
    187,094.75x = 280,608.35 × 53,942.27
  4. Step 4: Simplify right side
    187,094.75x = 15,136,649,707.20
  5. Step 5: Solve for x
    x = 15,136,649,707.20/187,094.75
  6. Step 6: Final answer
    x = 80,903.66

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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.