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Finding the Fourth Proportional to 274,654.80, 412,205.68 and 141,573.11

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Solution

The fourth proportional to 274,654.80, 412,205.68 and 141,573.11 is: 212,474.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,654.80 : 412,205.68 = 141,573.11 : x
  2. Step 2: Convert to fraction form
    274,654.80/412,205.68 = 141,573.11/x
  3. Step 3: Cross multiply
    274,654.80x = 412,205.68 × 141,573.11
  4. Step 4: Simplify right side
    274,654.80x = 58,357,241,107.78
  5. Step 5: Solve for x
    x = 58,357,241,107.78/274,654.80
  6. Step 6: Final answer
    x = 212,474.87

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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.