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Finding the Fourth Proportional to 149,047.26, 223,593.12 and 49,218

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Solution

The fourth proportional to 149,047.26, 223,593.12 and 49,218 is: 73,834.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,047.26 : 223,593.12 = 49,218 : x
  2. Step 2: Convert to fraction form
    149,047.26/223,593.12 = 49,218/x
  3. Step 3: Cross multiply
    149,047.26x = 223,593.12 × 49,218
  4. Step 4: Simplify right side
    149,047.26x = 11,004,806,180.16
  5. Step 5: Solve for x
    x = 11,004,806,180.16/149,047.26
  6. Step 6: Final answer
    x = 73,834.34

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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.