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Finding the Fourth Proportional to 143,302.97, 214,973.90 and 49,796.57

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Solution

The fourth proportional to 143,302.97, 214,973.90 and 49,796.57 is: 74,701.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,302.97 : 214,973.90 = 49,796.57 : x
  2. Step 2: Convert to fraction form
    143,302.97/214,973.90 = 49,796.57/x
  3. Step 3: Cross multiply
    143,302.97x = 214,973.90 × 49,796.57
  4. Step 4: Simplify right side
    143,302.97x = 10,704,962,610.54
  5. Step 5: Solve for x
    x = 10,704,962,610.54/143,302.97
  6. Step 6: Final answer
    x = 74,701.61

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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.