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Finding the Fourth Proportional to 221,432.19, 332,201.02 and 71,672.50

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Solution

The fourth proportional to 221,432.19, 332,201.02 and 71,672.50 is: 107,525.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,432.19 : 332,201.02 = 71,672.50 : x
  2. Step 2: Convert to fraction form
    221,432.19/332,201.02 = 71,672.50/x
  3. Step 3: Cross multiply
    221,432.19x = 332,201.02 × 71,672.50
  4. Step 4: Simplify right side
    221,432.19x = 23,809,677,605.95
  5. Step 5: Solve for x
    x = 23,809,677,605.95/221,432.19
  6. Step 6: Final answer
    x = 107,525.82

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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.