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Finding the Fourth Proportional to 135,680.64, 203,530.71 and 35,839.53

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Solution

The fourth proportional to 135,680.64, 203,530.71 and 35,839.53 is: 53,761.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,680.64 : 203,530.71 = 35,839.53 : x
  2. Step 2: Convert to fraction form
    135,680.64/203,530.71 = 35,839.53/x
  3. Step 3: Cross multiply
    135,680.64x = 203,530.71 × 35,839.53
  4. Step 4: Simplify right side
    135,680.64x = 7,294,445,121.36
  5. Step 5: Solve for x
    x = 7,294,445,121.36/135,680.64
  6. Step 6: Final answer
    x = 53,761.87

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Why These Related Problems?

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