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Finding the Fourth Proportional to 135,310.50, 202,959.57 and 35,468.48

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Solution

The fourth proportional to 135,310.50, 202,959.57 and 35,468.48 is: 53,201.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,310.50 : 202,959.57 = 35,468.48 : x
  2. Step 2: Convert to fraction form
    135,310.50/202,959.57 = 35,468.48/x
  3. Step 3: Cross multiply
    135,310.50x = 202,959.57 × 35,468.48
  4. Step 4: Simplify right side
    135,310.50x = 7,198,668,089.76
  5. Step 5: Solve for x
    x = 7,198,668,089.76/135,310.50
  6. Step 6: Final answer
    x = 53,201.10

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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.