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Finding the Fourth Proportional to 285,704.70, 428,739.30 and 136,113.90

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Solution

The fourth proportional to 285,704.70, 428,739.30 and 136,113.90 is: 204,257.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,704.70 : 428,739.30 = 136,113.90 : x
  2. Step 2: Convert to fraction form
    285,704.70/428,739.30 = 136,113.90/x
  3. Step 3: Cross multiply
    285,704.70x = 428,739.30 × 136,113.90
  4. Step 4: Simplify right side
    285,704.70x = 58,357,378,206.27
  5. Step 5: Solve for x
    x = 58,357,378,206.27/285,704.70
  6. Step 6: Final answer
    x = 204,257.68

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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.