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Finding the Fourth Proportional to 159,137.83, 219,605.82 and 87,517.85

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Solution

The fourth proportional to 159,137.83, 219,605.82 and 87,517.85 is: 120,772.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,137.83 : 219,605.82 = 87,517.85 : x
  2. Step 2: Convert to fraction form
    159,137.83/219,605.82 = 87,517.85/x
  3. Step 3: Cross multiply
    159,137.83x = 219,605.82 × 87,517.85
  4. Step 4: Simplify right side
    159,137.83x = 19,219,429,213.89
  5. Step 5: Solve for x
    x = 19,219,429,213.89/159,137.83
  6. Step 6: Final answer
    x = 120,772.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.