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Finding the Fourth Proportional to 135,212.28, 202,800.42 and 35,364.52

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Solution

The fourth proportional to 135,212.28, 202,800.42 and 35,364.52 is: 53,042.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,212.28 : 202,800.42 = 35,364.52 : x
  2. Step 2: Convert to fraction form
    135,212.28/202,800.42 = 35,364.52/x
  3. Step 3: Cross multiply
    135,212.28x = 202,800.42 × 35,364.52
  4. Step 4: Simplify right side
    135,212.28x = 7,171,939,509.10
  5. Step 5: Solve for x
    x = 7,171,939,509.10/135,212.28
  6. Step 6: Final answer
    x = 53,042.07

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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.