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Finding the Fourth Proportional to 135,817.83, 203,926.68 and 75,963.56

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Solution

The fourth proportional to 135,817.83, 203,926.68 and 75,963.56 is: 114,057.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,817.83 : 203,926.68 = 75,963.56 : x
  2. Step 2: Convert to fraction form
    135,817.83/203,926.68 = 75,963.56/x
  3. Step 3: Cross multiply
    135,817.83x = 203,926.68 × 75,963.56
  4. Step 4: Simplify right side
    135,817.83x = 15,490,995,572.15
  5. Step 5: Solve for x
    x = 15,490,995,572.15/135,817.83
  6. Step 6: Final answer
    x = 114,057.16

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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.