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Finding the Fourth Proportional to 175,649.89, 263,516.76 and 57,321.45

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Solution

The fourth proportional to 175,649.89, 263,516.76 and 57,321.45 is: 85,995.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,649.89 : 263,516.76 = 57,321.45 : x
  2. Step 2: Convert to fraction form
    175,649.89/263,516.76 = 57,321.45/x
  3. Step 3: Cross multiply
    175,649.89x = 263,516.76 × 57,321.45
  4. Step 4: Simplify right side
    175,649.89x = 15,105,162,782.50
  5. Step 5: Solve for x
    x = 15,105,162,782.50/175,649.89
  6. Step 6: Final answer
    x = 85,995.86

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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.