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Finding the Fourth Proportional to 149,764.88, 206,675.88 and 81,781.98

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Solution

The fourth proportional to 149,764.88, 206,675.88 and 81,781.98 is: 112,859.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,764.88 : 206,675.88 = 81,781.98 : x
  2. Step 2: Convert to fraction form
    149,764.88/206,675.88 = 81,781.98/x
  3. Step 3: Cross multiply
    149,764.88x = 206,675.88 × 81,781.98
  4. Step 4: Simplify right side
    149,764.88x = 16,902,362,684.64
  5. Step 5: Solve for x
    x = 16,902,362,684.64/149,764.88
  6. Step 6: Final answer
    x = 112,859.32

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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.