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Finding the Fourth Proportional to 101,096.32, 151,727.08 and 71,542.64

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Solution

The fourth proportional to 101,096.32, 151,727.08 and 71,542.64 is: 107,372.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,096.32 : 151,727.08 = 71,542.64 : x
  2. Step 2: Convert to fraction form
    101,096.32/151,727.08 = 71,542.64/x
  3. Step 3: Cross multiply
    101,096.32x = 151,727.08 × 71,542.64
  4. Step 4: Simplify right side
    101,096.32x = 10,854,955,862.69
  5. Step 5: Solve for x
    x = 10,854,955,862.69/101,096.32
  6. Step 6: Final answer
    x = 107,372.41

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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.