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Finding the Fourth Proportional to 135,202.87, 202,508.70 and 68,528.53

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Solution

The fourth proportional to 135,202.87, 202,508.70 and 68,528.53 is: 102,642.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,202.87 : 202,508.70 = 68,528.53 : x
  2. Step 2: Convert to fraction form
    135,202.87/202,508.70 = 68,528.53/x
  3. Step 3: Cross multiply
    135,202.87x = 202,508.70 × 68,528.53
  4. Step 4: Simplify right side
    135,202.87x = 13,877,623,523.21
  5. Step 5: Solve for x
    x = 13,877,623,523.21/135,202.87
  6. Step 6: Final answer
    x = 102,642.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.