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Finding the Fourth Proportional to 149,777.30, 206,684.90 and 81,781.14

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Solution

The fourth proportional to 149,777.30, 206,684.90 and 81,781.14 is: 112,853.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,777.30 : 206,684.90 = 81,781.14 : x
  2. Step 2: Convert to fraction form
    149,777.30/206,684.90 = 81,781.14/x
  3. Step 3: Cross multiply
    149,777.30x = 206,684.90 × 81,781.14
  4. Step 4: Simplify right side
    149,777.30x = 16,902,927,415.63
  5. Step 5: Solve for x
    x = 16,902,927,415.63/149,777.30
  6. Step 6: Final answer
    x = 112,853.73

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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.