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Finding the Fourth Proportional to 146,262, 219,393 and 35,454

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Solution

The fourth proportional to 146,262, 219,393 and 35,454 is: 53,181

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,262 : 219,393 = 35,454 : x
  2. Step 2: Convert to fraction form
    146,262/219,393 = 35,454/x
  3. Step 3: Cross multiply
    146,262x = 219,393 × 35,454
  4. Step 4: Simplify right side
    146,262x = 7,778,359,422
  5. Step 5: Solve for x
    x = 7,778,359,422/146,262
  6. Step 6: Final answer
    x = 53,181

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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.