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Finding the Fourth Proportional to 135,505.63, 203,036.70 and 82,035.54

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Solution

The fourth proportional to 135,505.63, 203,036.70 and 82,035.54 is: 122,919.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,505.63 : 203,036.70 = 82,035.54 : x
  2. Step 2: Convert to fraction form
    135,505.63/203,036.70 = 82,035.54/x
  3. Step 3: Cross multiply
    135,505.63x = 203,036.70 × 82,035.54
  4. Step 4: Simplify right side
    135,505.63x = 16,656,225,324.32
  5. Step 5: Solve for x
    x = 16,656,225,324.32/135,505.63
  6. Step 6: Final answer
    x = 122,919.06

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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.