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Finding the Fourth Proportional to 191,408.87, 287,091.44 and 51,178.43

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Solution

The fourth proportional to 191,408.87, 287,091.44 and 51,178.43 is: 76,761.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,408.87 : 287,091.44 = 51,178.43 : x
  2. Step 2: Convert to fraction form
    191,408.87/287,091.44 = 51,178.43/x
  3. Step 3: Cross multiply
    191,408.87x = 287,091.44 × 51,178.43
  4. Step 4: Simplify right side
    191,408.87x = 14,692,889,819.39
  5. Step 5: Solve for x
    x = 14,692,889,819.39/191,408.87
  6. Step 6: Final answer
    x = 76,761.80

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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.