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Finding the Fourth Proportional to 230,635.30, 318,269.49 and 135,205.55

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Solution

The fourth proportional to 230,635.30, 318,269.49 and 135,205.55 is: 186,579.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,635.30 : 318,269.49 = 135,205.55 : x
  2. Step 2: Convert to fraction form
    230,635.30/318,269.49 = 135,205.55/x
  3. Step 3: Cross multiply
    230,635.30x = 318,269.49 × 135,205.55
  4. Step 4: Simplify right side
    230,635.30x = 43,031,801,443.67
  5. Step 5: Solve for x
    x = 43,031,801,443.67/230,635.30
  6. Step 6: Final answer
    x = 186,579.42

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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.