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Finding the Fourth Proportional to 194,806.80, 292,221.24 and 54,576.36

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Solution

The fourth proportional to 194,806.80, 292,221.24 and 54,576.36 is: 81,867.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,806.80 : 292,221.24 = 54,576.36 : x
  2. Step 2: Convert to fraction form
    194,806.80/292,221.24 = 54,576.36/x
  3. Step 3: Cross multiply
    194,806.80x = 292,221.24 × 54,576.36
  4. Step 4: Simplify right side
    194,806.80x = 15,948,371,593.89
  5. Step 5: Solve for x
    x = 15,948,371,593.89/194,806.80
  6. Step 6: Final answer
    x = 81,867.63

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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.