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Finding the Fourth Proportional to 220,969.92, 304,938.54 and 120,367.92

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Solution

The fourth proportional to 220,969.92, 304,938.54 and 120,367.92 is: 166,107.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,969.92 : 304,938.54 = 120,367.92 : x
  2. Step 2: Convert to fraction form
    220,969.92/304,938.54 = 120,367.92/x
  3. Step 3: Cross multiply
    220,969.92x = 304,938.54 × 120,367.92
  4. Step 4: Simplify right side
    220,969.92x = 36,704,817,787.64
  5. Step 5: Solve for x
    x = 36,704,817,787.64/220,969.92
  6. Step 6: Final answer
    x = 166,107.76

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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.