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Finding the Fourth Proportional to 362,158.80, 542,201.40 and 222,190.80

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Solution

The fourth proportional to 362,158.80, 542,201.40 and 222,190.80 is: 332,650.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,158.80 : 542,201.40 = 222,190.80 : x
  2. Step 2: Convert to fraction form
    362,158.80/542,201.40 = 222,190.80/x
  3. Step 3: Cross multiply
    362,158.80x = 542,201.40 × 222,190.80
  4. Step 4: Simplify right side
    362,158.80x = 120,472,162,827.12
  5. Step 5: Solve for x
    x = 120,472,162,827.12/362,158.80
  6. Step 6: Final answer
    x = 332,650.10

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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.