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Finding the Fourth Proportional to 100,867.84, 151,321.67 and 29,791.70

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Solution

The fourth proportional to 100,867.84, 151,321.67 and 29,791.70 is: 44,693.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,867.84 : 151,321.67 = 29,791.70 : x
  2. Step 2: Convert to fraction form
    100,867.84/151,321.67 = 29,791.70/x
  3. Step 3: Cross multiply
    100,867.84x = 151,321.67 × 29,791.70
  4. Step 4: Simplify right side
    100,867.84x = 4,508,129,796.14
  5. Step 5: Solve for x
    x = 4,508,129,796.14/100,867.84
  6. Step 6: Final answer
    x = 44,693.43

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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.