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Finding the Fourth Proportional to 222,793.80, 334,117.80 and 82,534.20

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Solution

The fourth proportional to 222,793.80, 334,117.80 and 82,534.20 is: 123,774.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,793.80 : 334,117.80 = 82,534.20 : x
  2. Step 2: Convert to fraction form
    222,793.80/334,117.80 = 82,534.20/x
  3. Step 3: Cross multiply
    222,793.80x = 334,117.80 × 82,534.20
  4. Step 4: Simplify right side
    222,793.80x = 27,576,145,328.76
  5. Step 5: Solve for x
    x = 27,576,145,328.76/222,793.80
  6. Step 6: Final answer
    x = 123,774.29

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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.