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Finding the Fourth Proportional to 143,324.53, 214,991.31 and 36,709.16

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Solution

The fourth proportional to 143,324.53, 214,991.31 and 36,709.16 is: 55,064.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,324.53 : 214,991.31 = 36,709.16 : x
  2. Step 2: Convert to fraction form
    143,324.53/214,991.31 = 36,709.16/x
  3. Step 3: Cross multiply
    143,324.53x = 214,991.31 × 36,709.16
  4. Step 4: Simplify right side
    143,324.53x = 7,892,149,460.10
  5. Step 5: Solve for x
    x = 7,892,149,460.10/143,324.53
  6. Step 6: Final answer
    x = 55,064.89

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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.