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Finding the Fourth Proportional to 220,122.30, 303,770.16 and 119,520.30

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Solution

The fourth proportional to 220,122.30, 303,770.16 and 119,520.30 is: 164,938.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,122.30 : 303,770.16 = 119,520.30 : x
  2. Step 2: Convert to fraction form
    220,122.30/303,770.16 = 119,520.30/x
  3. Step 3: Cross multiply
    220,122.30x = 303,770.16 × 119,520.30
  4. Step 4: Simplify right side
    220,122.30x = 36,306,700,654.25
  5. Step 5: Solve for x
    x = 36,306,700,654.25/220,122.30
  6. Step 6: Final answer
    x = 164,938.77

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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.