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Finding the Fourth Proportional to 149,833.08, 206,769.02 and 82,765.08

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Solution

The fourth proportional to 149,833.08, 206,769.02 and 82,765.08 is: 114,215.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,833.08 : 206,769.02 = 82,765.08 : x
  2. Step 2: Convert to fraction form
    149,833.08/206,769.02 = 82,765.08/x
  3. Step 3: Cross multiply
    149,833.08x = 206,769.02 × 82,765.08
  4. Step 4: Simplify right side
    149,833.08x = 17,113,254,481.82
  5. Step 5: Solve for x
    x = 17,113,254,481.82/149,833.08
  6. Step 6: Final answer
    x = 114,215.46

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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.