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Finding the Fourth Proportional to 149,222, 223,833 and 50,726

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Solution

The fourth proportional to 149,222, 223,833 and 50,726 is: 76,089

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,222 : 223,833 = 50,726 : x
  2. Step 2: Convert to fraction form
    149,222/223,833 = 50,726/x
  3. Step 3: Cross multiply
    149,222x = 223,833 × 50,726
  4. Step 4: Simplify right side
    149,222x = 11,354,152,758
  5. Step 5: Solve for x
    x = 11,354,152,758/149,222
  6. Step 6: Final answer
    x = 76,089

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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.