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Finding the Fourth Proportional to 361,935.21, 542,902.83 and 196,047.21

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Solution

The fourth proportional to 361,935.21, 542,902.83 and 196,047.21 is: 294,070.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,935.21 : 542,902.83 = 196,047.21 : x
  2. Step 2: Convert to fraction form
    361,935.21/542,902.83 = 196,047.21/x
  3. Step 3: Cross multiply
    361,935.21x = 542,902.83 × 196,047.21
  4. Step 4: Simplify right side
    361,935.21x = 106,434,585,122.60
  5. Step 5: Solve for x
    x = 106,434,585,122.60/361,935.21
  6. Step 6: Final answer
    x = 294,070.82

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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.