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Finding the Fourth Proportional to 204,510.08, 306,780.50 and 54,747.06

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Solution

The fourth proportional to 204,510.08, 306,780.50 and 54,747.06 is: 82,124.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,510.08 : 306,780.50 = 54,747.06 : x
  2. Step 2: Convert to fraction form
    204,510.08/306,780.50 = 54,747.06/x
  3. Step 3: Cross multiply
    204,510.08x = 306,780.50 × 54,747.06
  4. Step 4: Simplify right side
    204,510.08x = 16,795,330,440.33
  5. Step 5: Solve for x
    x = 16,795,330,440.33/204,510.08
  6. Step 6: Final answer
    x = 82,124.71

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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.