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Finding the Fourth Proportional to 148,138, 222,207 and 37,330

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Solution

The fourth proportional to 148,138, 222,207 and 37,330 is: 55,995

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,138 : 222,207 = 37,330 : x
  2. Step 2: Convert to fraction form
    148,138/222,207 = 37,330/x
  3. Step 3: Cross multiply
    148,138x = 222,207 × 37,330
  4. Step 4: Simplify right side
    148,138x = 8,294,987,310
  5. Step 5: Solve for x
    x = 8,294,987,310/148,138
  6. Step 6: Final answer
    x = 55,995

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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.