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Finding the Fourth Proportional to 143,009.50, 214,570.74 and 54,286.56

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Solution

The fourth proportional to 143,009.50, 214,570.74 and 54,286.56 is: 81,451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,009.50 : 214,570.74 = 54,286.56 : x
  2. Step 2: Convert to fraction form
    143,009.50/214,570.74 = 54,286.56/x
  3. Step 3: Cross multiply
    143,009.50x = 214,570.74 × 54,286.56
  4. Step 4: Simplify right side
    143,009.50x = 11,648,307,351.25
  5. Step 5: Solve for x
    x = 11,648,307,351.25/143,009.50
  6. Step 6: Final answer
    x = 81,451.28

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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.