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Finding the Fourth Proportional to 200,676.41, 301,013.99 and 50,916.41

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Solution

The fourth proportional to 200,676.41, 301,013.99 and 50,916.41 is: 76,374.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,676.41 : 301,013.99 = 50,916.41 : x
  2. Step 2: Convert to fraction form
    200,676.41/301,013.99 = 50,916.41/x
  3. Step 3: Cross multiply
    200,676.41x = 301,013.99 × 50,916.41
  4. Step 4: Simplify right side
    200,676.41x = 15,326,551,105.33
  5. Step 5: Solve for x
    x = 15,326,551,105.33/200,676.41
  6. Step 6: Final answer
    x = 76,374.45

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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.