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Finding the Fourth Proportional to 207,545.44, 311,444.16 and 82,876

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Solution

The fourth proportional to 207,545.44, 311,444.16 and 82,876 is: 124,364.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,545.44 : 311,444.16 = 82,876 : x
  2. Step 2: Convert to fraction form
    207,545.44/311,444.16 = 82,876/x
  3. Step 3: Cross multiply
    207,545.44x = 311,444.16 × 82,876
  4. Step 4: Simplify right side
    207,545.44x = 25,811,246,204.16
  5. Step 5: Solve for x
    x = 25,811,246,204.16/207,545.44
  6. Step 6: Final answer
    x = 124,364.31

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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.