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Finding the Fourth Proportional to 221,689.70, 332,534.55 and 133,043.30

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Solution

The fourth proportional to 221,689.70, 332,534.55 and 133,043.30 is: 199,564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,689.70 : 332,534.55 = 133,043.30 : x
  2. Step 2: Convert to fraction form
    221,689.70/332,534.55 = 133,043.30/x
  3. Step 3: Cross multiply
    221,689.70x = 332,534.55 × 133,043.30
  4. Step 4: Simplify right side
    221,689.70x = 44,241,493,896.02
  5. Step 5: Solve for x
    x = 44,241,493,896.02/221,689.70
  6. Step 6: Final answer
    x = 199,564.95

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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.