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Finding the Fourth Proportional to 275,996.34, 413,994.51 and 89,007.84

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Solution

The fourth proportional to 275,996.34, 413,994.51 and 89,007.84 is: 133,511.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,996.34 : 413,994.51 = 89,007.84 : x
  2. Step 2: Convert to fraction form
    275,996.34/413,994.51 = 89,007.84/x
  3. Step 3: Cross multiply
    275,996.34x = 413,994.51 × 89,007.84
  4. Step 4: Simplify right side
    275,996.34x = 36,848,757,106.96
  5. Step 5: Solve for x
    x = 36,848,757,106.96/275,996.34
  6. Step 6: Final answer
    x = 133,511.76

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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.