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Finding the Fourth Proportional to 149,108.50, 205,769.73 and 82,040.50

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Solution

The fourth proportional to 149,108.50, 205,769.73 and 82,040.50 is: 113,215.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,108.50 : 205,769.73 = 82,040.50 : x
  2. Step 2: Convert to fraction form
    149,108.50/205,769.73 = 82,040.50/x
  3. Step 3: Cross multiply
    149,108.50x = 205,769.73 × 82,040.50
  4. Step 4: Simplify right side
    149,108.50x = 16,881,451,534.07
  5. Step 5: Solve for x
    x = 16,881,451,534.07/149,108.50
  6. Step 6: Final answer
    x = 113,215.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.