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Finding the Fourth Proportional to 135,960, 203,940 and 37,464

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Solution

The fourth proportional to 135,960, 203,940 and 37,464 is: 56,196

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,960 : 203,940 = 37,464 : x
  2. Step 2: Convert to fraction form
    135,960/203,940 = 37,464/x
  3. Step 3: Cross multiply
    135,960x = 203,940 × 37,464
  4. Step 4: Simplify right side
    135,960x = 7,640,408,160
  5. Step 5: Solve for x
    x = 7,640,408,160/135,960
  6. Step 6: Final answer
    x = 56,196

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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.