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Finding the Fourth Proportional to 149,230, 223,845 and 50,734

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Solution

The fourth proportional to 149,230, 223,845 and 50,734 is: 76,101

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,230 : 223,845 = 50,734 : x
  2. Step 2: Convert to fraction form
    149,230/223,845 = 50,734/x
  3. Step 3: Cross multiply
    149,230x = 223,845 × 50,734
  4. Step 4: Simplify right side
    149,230x = 11,356,552,230
  5. Step 5: Solve for x
    x = 11,356,552,230/149,230
  6. Step 6: Final answer
    x = 76,101

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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.