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Finding the Fourth Proportional to 101,077.43, 151,493.16 and 71,503.79

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Solution

The fourth proportional to 101,077.43, 151,493.16 and 71,503.79 is: 107,168.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,077.43 : 151,493.16 = 71,503.79 : x
  2. Step 2: Convert to fraction form
    101,077.43/151,493.16 = 71,503.79/x
  3. Step 3: Cross multiply
    101,077.43x = 151,493.16 × 71,503.79
  4. Step 4: Simplify right side
    101,077.43x = 10,832,335,099.08
  5. Step 5: Solve for x
    x = 10,832,335,099.08/101,077.43
  6. Step 6: Final answer
    x = 107,168.68

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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.