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Finding the Fourth Proportional to 135,804.38, 187,401.24 and 75,375.05

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Solution

The fourth proportional to 135,804.38, 187,401.24 and 75,375.05 is: 104,012.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,804.38 : 187,401.24 = 75,375.05 : x
  2. Step 2: Convert to fraction form
    135,804.38/187,401.24 = 75,375.05/x
  3. Step 3: Cross multiply
    135,804.38x = 187,401.24 × 75,375.05
  4. Step 4: Simplify right side
    135,804.38x = 14,125,376,898.06
  5. Step 5: Solve for x
    x = 14,125,376,898.06/135,804.38
  6. Step 6: Final answer
    x = 104,012.68

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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.