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Finding the Fourth Proportional to 144,759.92, 199,758.60 and 80,228.52

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Solution

The fourth proportional to 144,759.92, 199,758.60 and 80,228.52 is: 110,709.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,759.92 : 199,758.60 = 80,228.52 : x
  2. Step 2: Convert to fraction form
    144,759.92/199,758.60 = 80,228.52/x
  3. Step 3: Cross multiply
    144,759.92x = 199,758.60 × 80,228.52
  4. Step 4: Simplify right side
    144,759.92x = 16,026,336,835.27
  5. Step 5: Solve for x
    x = 16,026,336,835.27/144,759.92
  6. Step 6: Final answer
    x = 110,709.77

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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.