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Finding the Fourth Proportional to 149,204, 223,806 and 44,021.45

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Solution

The fourth proportional to 149,204, 223,806 and 44,021.45 is: 66,032.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,204 : 223,806 = 44,021.45 : x
  2. Step 2: Convert to fraction form
    149,204/223,806 = 44,021.45/x
  3. Step 3: Cross multiply
    149,204x = 223,806 × 44,021.45
  4. Step 4: Simplify right side
    149,204x = 9,852,264,638.70
  5. Step 5: Solve for x
    x = 9,852,264,638.70/149,204
  6. Step 6: Final answer
    x = 66,032.18

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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.