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Finding the Fourth Proportional to 135,200.81, 202,785.72 and 35,370.64

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Solution

The fourth proportional to 135,200.81, 202,785.72 and 35,370.64 is: 53,051.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,200.81 : 202,785.72 = 35,370.64 : x
  2. Step 2: Convert to fraction form
    135,200.81/202,785.72 = 35,370.64/x
  3. Step 3: Cross multiply
    135,200.81x = 202,785.72 × 35,370.64
  4. Step 4: Simplify right side
    135,200.81x = 7,172,660,138.69
  5. Step 5: Solve for x
    x = 7,172,660,138.69/135,200.81
  6. Step 6: Final answer
    x = 53,051.90

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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.