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Finding the Fourth Proportional to 180,885.78, 271,324.44 and 47,775.33

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Solution

The fourth proportional to 180,885.78, 271,324.44 and 47,775.33 is: 71,661.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,885.78 : 271,324.44 = 47,775.33 : x
  2. Step 2: Convert to fraction form
    180,885.78/271,324.44 = 47,775.33/x
  3. Step 3: Cross multiply
    180,885.78x = 271,324.44 × 47,775.33
  4. Step 4: Simplify right side
    180,885.78x = 12,962,614,658.07
  5. Step 5: Solve for x
    x = 12,962,614,658.07/180,885.78
  6. Step 6: Final answer
    x = 71,661.88

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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.