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Finding the Fourth Proportional to 143,324.83, 214,839.01 and 48,523.65

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Solution

The fourth proportional to 143,324.83, 214,839.01 and 48,523.65 is: 72,735.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,324.83 : 214,839.01 = 48,523.65 : x
  2. Step 2: Convert to fraction form
    143,324.83/214,839.01 = 48,523.65/x
  3. Step 3: Cross multiply
    143,324.83x = 214,839.01 × 48,523.65
  4. Step 4: Simplify right side
    143,324.83x = 10,424,772,927.59
  5. Step 5: Solve for x
    x = 10,424,772,927.59/143,324.83
  6. Step 6: Final answer
    x = 72,735.29

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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.