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Finding the Fourth Proportional to 149,539.98, 206,359.46 and 82,471.98

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Solution

The fourth proportional to 149,539.98, 206,359.46 and 82,471.98 is: 113,808.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,539.98 : 206,359.46 = 82,471.98 : x
  2. Step 2: Convert to fraction form
    149,539.98/206,359.46 = 82,471.98/x
  3. Step 3: Cross multiply
    149,539.98x = 206,359.46 × 82,471.98
  4. Step 4: Simplify right side
    149,539.98x = 17,018,873,464.11
  5. Step 5: Solve for x
    x = 17,018,873,464.11/149,539.98
  6. Step 6: Final answer
    x = 113,808.18

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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.