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Finding the Fourth Proportional to 135,796.45, 187,396.51 and 75,367.82

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Solution

The fourth proportional to 135,796.45, 187,396.51 and 75,367.82 is: 104,006.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,796.45 : 187,396.51 = 75,367.82 : x
  2. Step 2: Convert to fraction form
    135,796.45/187,396.51 = 75,367.82/x
  3. Step 3: Cross multiply
    135,796.45x = 187,396.51 × 75,367.82
  4. Step 4: Simplify right side
    135,796.45x = 14,123,666,013.56
  5. Step 5: Solve for x
    x = 14,123,666,013.56/135,796.45
  6. Step 6: Final answer
    x = 104,006.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.