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Finding the Fourth Proportional to 279,056.63, 418,584.96 and 82,064.63

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Solution

The fourth proportional to 279,056.63, 418,584.96 and 82,064.63 is: 123,096.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,056.63 : 418,584.96 = 82,064.63 : x
  2. Step 2: Convert to fraction form
    279,056.63/418,584.96 = 82,064.63/x
  3. Step 3: Cross multiply
    279,056.63x = 418,584.96 × 82,064.63
  4. Step 4: Simplify right side
    279,056.63x = 34,351,017,773.04
  5. Step 5: Solve for x
    x = 34,351,017,773.04/279,056.63
  6. Step 6: Final answer
    x = 123,096.94

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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.