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Finding the Fourth Proportional to 99,840.65, 137,781 and 54,519.18

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Solution

The fourth proportional to 99,840.65, 137,781 and 54,519.18 is: 75,236.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,840.65 : 137,781 = 54,519.18 : x
  2. Step 2: Convert to fraction form
    99,840.65/137,781 = 54,519.18/x
  3. Step 3: Cross multiply
    99,840.65x = 137,781 × 54,519.18
  4. Step 4: Simplify right side
    99,840.65x = 7,511,706,622.90
  5. Step 5: Solve for x
    x = 7,511,706,622.90/99,840.65
  6. Step 6: Final answer
    x = 75,236.96

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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.