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Finding the Fourth Proportional to 221,043.14, 331,796.62 and 195,903.57

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Solution

The fourth proportional to 221,043.14, 331,796.62 and 195,903.57 is: 294,060.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,043.14 : 331,796.62 = 195,903.57 : x
  2. Step 2: Convert to fraction form
    221,043.14/331,796.62 = 195,903.57/x
  3. Step 3: Cross multiply
    221,043.14x = 331,796.62 × 195,903.57
  4. Step 4: Simplify right side
    221,043.14x = 65,000,142,927.87
  5. Step 5: Solve for x
    x = 65,000,142,927.87/221,043.14
  6. Step 6: Final answer
    x = 294,060.90

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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.