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Finding the Fourth Proportional to 143,098.14, 214,647 and 54,351.48

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Solution

The fourth proportional to 143,098.14, 214,647 and 54,351.48 is: 81,527.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,098.14 : 214,647 = 54,351.48 : x
  2. Step 2: Convert to fraction form
    143,098.14/214,647 = 54,351.48/x
  3. Step 3: Cross multiply
    143,098.14x = 214,647 × 54,351.48
  4. Step 4: Simplify right side
    143,098.14x = 11,666,382,127.56
  5. Step 5: Solve for x
    x = 11,666,382,127.56/143,098.14
  6. Step 6: Final answer
    x = 81,527.14

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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.