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Finding the Fourth Proportional to 143,008.50, 214,569.24 and 54,285.56

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Solution

The fourth proportional to 143,008.50, 214,569.24 and 54,285.56 is: 81,449.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,008.50 : 214,569.24 = 54,285.56 : x
  2. Step 2: Convert to fraction form
    143,008.50/214,569.24 = 54,285.56/x
  3. Step 3: Cross multiply
    143,008.50x = 214,569.24 × 54,285.56
  4. Step 4: Simplify right side
    143,008.50x = 11,648,010,279.33
  5. Step 5: Solve for x
    x = 11,648,010,279.33/143,008.50
  6. Step 6: Final answer
    x = 81,449.78

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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.