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Finding the Fourth Proportional to 149,469.70, 223,955.44 and 105,016.88

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Solution

The fourth proportional to 149,469.70, 223,955.44 and 105,016.88 is: 157,350.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,469.70 : 223,955.44 = 105,016.88 : x
  2. Step 2: Convert to fraction form
    149,469.70/223,955.44 = 105,016.88/x
  3. Step 3: Cross multiply
    149,469.70x = 223,955.44 × 105,016.88
  4. Step 4: Simplify right side
    149,469.70x = 23,519,101,370.19
  5. Step 5: Solve for x
    x = 23,519,101,370.19/149,469.70
  6. Step 6: Final answer
    x = 157,350.29

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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.