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Finding the Fourth Proportional to 103,520.82, 142,859.31 and 58,198.38

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Solution

The fourth proportional to 103,520.82, 142,859.31 and 58,198.38 is: 80,314.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,520.82 : 142,859.31 = 58,198.38 : x
  2. Step 2: Convert to fraction form
    103,520.82/142,859.31 = 58,198.38/x
  3. Step 3: Cross multiply
    103,520.82x = 142,859.31 × 58,198.38
  4. Step 4: Simplify right side
    103,520.82x = 8,314,180,409.92
  5. Step 5: Solve for x
    x = 8,314,180,409.92/103,520.82
  6. Step 6: Final answer
    x = 80,314.09

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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.