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Finding the Fourth Proportional to 232,729.50, 321,166.71 and 126,745.50

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Solution

The fourth proportional to 232,729.50, 321,166.71 and 126,745.50 is: 174,908.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,729.50 : 321,166.71 = 126,745.50 : x
  2. Step 2: Convert to fraction form
    232,729.50/321,166.71 = 126,745.50/x
  3. Step 3: Cross multiply
    232,729.50x = 321,166.71 × 126,745.50
  4. Step 4: Simplify right side
    232,729.50x = 40,706,435,242.31
  5. Step 5: Solve for x
    x = 40,706,435,242.31/232,729.50
  6. Step 6: Final answer
    x = 174,908.79

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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.