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Finding the Fourth Proportional to 149,842.08, 206,782.20 and 81,860

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Solution

The fourth proportional to 149,842.08, 206,782.20 and 81,860 is: 112,966.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,842.08 : 206,782.20 = 81,860 : x
  2. Step 2: Convert to fraction form
    149,842.08/206,782.20 = 81,860/x
  3. Step 3: Cross multiply
    149,842.08x = 206,782.20 × 81,860
  4. Step 4: Simplify right side
    149,842.08x = 16,927,190,892
  5. Step 5: Solve for x
    x = 16,927,190,892/149,842.08
  6. Step 6: Final answer
    x = 112,966.87

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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.