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Finding the Fourth Proportional to 194,988.88, 292,481.97 and 54,747.64

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Solution

The fourth proportional to 194,988.88, 292,481.97 and 54,747.64 is: 82,121.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,988.88 : 292,481.97 = 54,747.64 : x
  2. Step 2: Convert to fraction form
    194,988.88/292,481.97 = 54,747.64/x
  3. Step 3: Cross multiply
    194,988.88x = 292,481.97 × 54,747.64
  4. Step 4: Simplify right side
    194,988.88x = 16,012,697,600.05
  5. Step 5: Solve for x
    x = 16,012,697,600.05/194,988.88
  6. Step 6: Final answer
    x = 82,121.08

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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.