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Finding the Fourth Proportional to 149,843.12, 206,780.04 and 81,860.32

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Solution

The fourth proportional to 149,843.12, 206,780.04 and 81,860.32 is: 112,965.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,843.12 : 206,780.04 = 81,860.32 : x
  2. Step 2: Convert to fraction form
    149,843.12/206,780.04 = 81,860.32/x
  3. Step 3: Cross multiply
    149,843.12x = 206,780.04 × 81,860.32
  4. Step 4: Simplify right side
    149,843.12x = 16,927,080,502.49
  5. Step 5: Solve for x
    x = 16,927,080,502.49/149,843.12
  6. Step 6: Final answer
    x = 112,965.35

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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.