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Finding the Fourth Proportional to 135,908.70, 203,863.05 and 100,916.70

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Solution

The fourth proportional to 135,908.70, 203,863.05 and 100,916.70 is: 151,375.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,908.70 : 203,863.05 = 100,916.70 : x
  2. Step 2: Convert to fraction form
    135,908.70/203,863.05 = 100,916.70/x
  3. Step 3: Cross multiply
    135,908.70x = 203,863.05 × 100,916.70
  4. Step 4: Simplify right side
    135,908.70x = 20,573,186,257.94
  5. Step 5: Solve for x
    x = 20,573,186,257.94/135,908.70
  6. Step 6: Final answer
    x = 151,375.05

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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.