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Finding the Fourth Proportional to 149,714.26, 206,602.59 and 81,732.58

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Solution

The fourth proportional to 149,714.26, 206,602.59 and 81,732.58 is: 112,789.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,714.26 : 206,602.59 = 81,732.58 : x
  2. Step 2: Convert to fraction form
    149,714.26/206,602.59 = 81,732.58/x
  3. Step 3: Cross multiply
    149,714.26x = 206,602.59 × 81,732.58
  4. Step 4: Simplify right side
    149,714.26x = 16,886,162,715.38
  5. Step 5: Solve for x
    x = 16,886,162,715.38/149,714.26
  6. Step 6: Final answer
    x = 112,789.27

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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.