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Finding the Fourth Proportional to 257,694.12, 386,764.38 and 178,863.84

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Solution

The fourth proportional to 257,694.12, 386,764.38 and 178,863.84 is: 268,450.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,694.12 : 386,764.38 = 178,863.84 : x
  2. Step 2: Convert to fraction form
    257,694.12/386,764.38 = 178,863.84/x
  3. Step 3: Cross multiply
    257,694.12x = 386,764.38 × 178,863.84
  4. Step 4: Simplify right side
    257,694.12x = 69,178,162,182.02
  5. Step 5: Solve for x
    x = 69,178,162,182.02/257,694.12
  6. Step 6: Final answer
    x = 268,450.68

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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.