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Finding the Fourth Proportional to 142,694.73, 214,023.60 and 53,936.69

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Solution

The fourth proportional to 142,694.73, 214,023.60 and 53,936.69 is: 80,898.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,694.73 : 214,023.60 = 53,936.69 : x
  2. Step 2: Convert to fraction form
    142,694.73/214,023.60 = 53,936.69/x
  3. Step 3: Cross multiply
    142,694.73x = 214,023.60 × 53,936.69
  4. Step 4: Simplify right side
    142,694.73x = 11,543,723,495.77
  5. Step 5: Solve for x
    x = 11,543,723,495.77/142,694.73
  6. Step 6: Final answer
    x = 80,898.04

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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.