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Finding the Fourth Proportional to 101,536.87, 140,076.82 and 61,228.25

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Solution

The fourth proportional to 101,536.87, 140,076.82 and 61,228.25 is: 84,468.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,536.87 : 140,076.82 = 61,228.25 : x
  2. Step 2: Convert to fraction form
    101,536.87/140,076.82 = 61,228.25/x
  3. Step 3: Cross multiply
    101,536.87x = 140,076.82 × 61,228.25
  4. Step 4: Simplify right side
    101,536.87x = 8,576,659,071.33
  5. Step 5: Solve for x
    x = 8,576,659,071.33/101,536.87
  6. Step 6: Final answer
    x = 84,468.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.