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Finding the Fourth Proportional to 135,877.49, 203,594.29 and 82,585.77

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Solution

The fourth proportional to 135,877.49, 203,594.29 and 82,585.77 is: 123,743.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,877.49 : 203,594.29 = 82,585.77 : x
  2. Step 2: Convert to fraction form
    135,877.49/203,594.29 = 82,585.77/x
  3. Step 3: Cross multiply
    135,877.49x = 203,594.29 × 82,585.77
  4. Step 4: Simplify right side
    135,877.49x = 16,813,991,529.72
  5. Step 5: Solve for x
    x = 16,813,991,529.72/135,877.49
  6. Step 6: Final answer
    x = 123,743.76

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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.