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Finding the Fourth Proportional to 142,732.44, 214,103.52 and 67,813.92

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Solution

The fourth proportional to 142,732.44, 214,103.52 and 67,813.92 is: 101,723.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,732.44 : 214,103.52 = 67,813.92 : x
  2. Step 2: Convert to fraction form
    142,732.44/214,103.52 = 67,813.92/x
  3. Step 3: Cross multiply
    142,732.44x = 214,103.52 × 67,813.92
  4. Step 4: Simplify right side
    142,732.44x = 14,519,198,977.00
  5. Step 5: Solve for x
    x = 14,519,198,977.00/142,732.44
  6. Step 6: Final answer
    x = 101,723.19

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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.