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Finding the Fourth Proportional to 101,150.24, 151,602.24 and 71,576.60

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Solution

The fourth proportional to 101,150.24, 151,602.24 and 71,576.60 is: 107,277.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,150.24 : 151,602.24 = 71,576.60 : x
  2. Step 2: Convert to fraction form
    101,150.24/151,602.24 = 71,576.60/x
  3. Step 3: Cross multiply
    101,150.24x = 151,602.24 × 71,576.60
  4. Step 4: Simplify right side
    101,150.24x = 10,851,172,891.58
  5. Step 5: Solve for x
    x = 10,851,172,891.58/101,150.24
  6. Step 6: Final answer
    x = 107,277.78

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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.