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Finding the Fourth Proportional to 135,305.67, 202,959.37 and 35,465

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Solution

The fourth proportional to 135,305.67, 202,959.37 and 35,465 is: 53,197.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,305.67 : 202,959.37 = 35,465 : x
  2. Step 2: Convert to fraction form
    135,305.67/202,959.37 = 35,465/x
  3. Step 3: Cross multiply
    135,305.67x = 202,959.37 × 35,465
  4. Step 4: Simplify right side
    135,305.67x = 7,197,954,057.05
  5. Step 5: Solve for x
    x = 7,197,954,057.05/135,305.67
  6. Step 6: Final answer
    x = 53,197.73

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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.