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Finding the Fourth Proportional to 146,282, 219,423 and 35,474

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Solution

The fourth proportional to 146,282, 219,423 and 35,474 is: 53,211

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,282 : 219,423 = 35,474 : x
  2. Step 2: Convert to fraction form
    146,282/219,423 = 35,474/x
  3. Step 3: Cross multiply
    146,282x = 219,423 × 35,474
  4. Step 4: Simplify right side
    146,282x = 7,783,811,502
  5. Step 5: Solve for x
    x = 7,783,811,502/146,282
  6. Step 6: Final answer
    x = 53,211

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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.