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Finding the Fourth Proportional to 213,869.06, 295,205.01 and 123,285.58

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Solution

The fourth proportional to 213,869.06, 295,205.01 and 123,285.58 is: 170,171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,869.06 : 295,205.01 = 123,285.58 : x
  2. Step 2: Convert to fraction form
    213,869.06/295,205.01 = 123,285.58/x
  3. Step 3: Cross multiply
    213,869.06x = 295,205.01 × 123,285.58
  4. Step 4: Simplify right side
    213,869.06x = 36,394,519,676.42
  5. Step 5: Solve for x
    x = 36,394,519,676.42/213,869.06
  6. Step 6: Final answer
    x = 170,171.97

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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.