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Finding the Fourth Proportional to 99,839.85, 137,779.55 and 54,519

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Solution

The fourth proportional to 99,839.85, 137,779.55 and 54,519 is: 75,236.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,839.85 : 137,779.55 = 54,519 : x
  2. Step 2: Convert to fraction form
    99,839.85/137,779.55 = 54,519/x
  3. Step 3: Cross multiply
    99,839.85x = 137,779.55 × 54,519
  4. Step 4: Simplify right side
    99,839.85x = 7,511,603,286.45
  5. Step 5: Solve for x
    x = 7,511,603,286.45/99,839.85
  6. Step 6: Final answer
    x = 75,236.52

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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.