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Finding the Fourth Proportional to 135,021.94, 202,536.15 and 41,528.50

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Solution

The fourth proportional to 135,021.94, 202,536.15 and 41,528.50 is: 62,293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,021.94 : 202,536.15 = 41,528.50 : x
  2. Step 2: Convert to fraction form
    135,021.94/202,536.15 = 41,528.50/x
  3. Step 3: Cross multiply
    135,021.94x = 202,536.15 × 41,528.50
  4. Step 4: Simplify right side
    135,021.94x = 8,411,022,505.28
  5. Step 5: Solve for x
    x = 8,411,022,505.28/135,021.94
  6. Step 6: Final answer
    x = 62,293.75

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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.