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Finding the Fourth Proportional to 135,938, 203,907 and 37,442

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Solution

The fourth proportional to 135,938, 203,907 and 37,442 is: 56,163

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,938 : 203,907 = 37,442 : x
  2. Step 2: Convert to fraction form
    135,938/203,907 = 37,442/x
  3. Step 3: Cross multiply
    135,938x = 203,907 × 37,442
  4. Step 4: Simplify right side
    135,938x = 7,634,685,894
  5. Step 5: Solve for x
    x = 7,634,685,894/135,938
  6. Step 6: Final answer
    x = 56,163

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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.