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Finding the Fourth Proportional to 149,127.31, 205,795.69 and 82,059.31

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Solution

The fourth proportional to 149,127.31, 205,795.69 and 82,059.31 is: 113,241.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,127.31 : 205,795.69 = 82,059.31 : x
  2. Step 2: Convert to fraction form
    149,127.31/205,795.69 = 82,059.31/x
  3. Step 3: Cross multiply
    149,127.31x = 205,795.69 × 82,059.31
  4. Step 4: Simplify right side
    149,127.31x = 16,887,452,322.37
  5. Step 5: Solve for x
    x = 16,887,452,322.37/149,127.31
  6. Step 6: Final answer
    x = 113,241.85

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