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Finding the Fourth Proportional to 143,304.22, 214,975.77 and 49,797.82

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Solution

The fourth proportional to 143,304.22, 214,975.77 and 49,797.82 is: 74,703.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,304.22 : 214,975.77 = 49,797.82 : x
  2. Step 2: Convert to fraction form
    143,304.22/214,975.77 = 49,797.82/x
  3. Step 3: Cross multiply
    143,304.22x = 214,975.77 × 49,797.82
  4. Step 4: Simplify right side
    143,304.22x = 10,705,324,698.82
  5. Step 5: Solve for x
    x = 10,705,324,698.82/143,304.22
  6. Step 6: Final answer
    x = 74,703.49

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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.