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Finding the Fourth Proportional to 83,467.82, 115,118.57 and 73,374.86

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Solution

The fourth proportional to 83,467.82, 115,118.57 and 73,374.86 is: 101,198.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,467.82 : 115,118.57 = 73,374.86 : x
  2. Step 2: Convert to fraction form
    83,467.82/115,118.57 = 73,374.86/x
  3. Step 3: Cross multiply
    83,467.82x = 115,118.57 × 73,374.86
  4. Step 4: Simplify right side
    83,467.82x = 8,446,808,014.68
  5. Step 5: Solve for x
    x = 8,446,808,014.68/83,467.82
  6. Step 6: Final answer
    x = 101,198.38

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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.