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Finding the Fourth Proportional to 143,230.24, 214,845.44 and 54,463.24

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Solution

The fourth proportional to 143,230.24, 214,845.44 and 54,463.24 is: 81,694.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,230.24 : 214,845.44 = 54,463.24 : x
  2. Step 2: Convert to fraction form
    143,230.24/214,845.44 = 54,463.24/x
  3. Step 3: Cross multiply
    143,230.24x = 214,845.44 × 54,463.24
  4. Step 4: Simplify right side
    143,230.24x = 11,701,178,761.63
  5. Step 5: Solve for x
    x = 11,701,178,761.63/143,230.24
  6. Step 6: Final answer
    x = 81,694.89

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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.