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Finding the Fourth Proportional to 149,278.48, 206,003.40 and 82,210

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Solution

The fourth proportional to 149,278.48, 206,003.40 and 82,210 is: 113,449.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,278.48 : 206,003.40 = 82,210 : x
  2. Step 2: Convert to fraction form
    149,278.48/206,003.40 = 82,210/x
  3. Step 3: Cross multiply
    149,278.48x = 206,003.40 × 82,210
  4. Step 4: Simplify right side
    149,278.48x = 16,935,539,514
  5. Step 5: Solve for x
    x = 16,935,539,514/149,278.48
  6. Step 6: Final answer
    x = 113,449.30

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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.