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Finding the Fourth Proportional to 143,201.80, 214,786.24 and 38,029

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Solution

The fourth proportional to 143,201.80, 214,786.24 and 38,029 is: 57,039.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,201.80 : 214,786.24 = 38,029 : x
  2. Step 2: Convert to fraction form
    143,201.80/214,786.24 = 38,029/x
  3. Step 3: Cross multiply
    143,201.80x = 214,786.24 × 38,029
  4. Step 4: Simplify right side
    143,201.80x = 8,168,105,920.96
  5. Step 5: Solve for x
    x = 8,168,105,920.96/143,201.80
  6. Step 6: Final answer
    x = 57,039.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.