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Finding the Fourth Proportional to 285,730.70, 428,778.30 and 136,139.90

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Solution

The fourth proportional to 285,730.70, 428,778.30 and 136,139.90 is: 204,296.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,730.70 : 428,778.30 = 136,139.90 : x
  2. Step 2: Convert to fraction form
    285,730.70/428,778.30 = 136,139.90/x
  3. Step 3: Cross multiply
    285,730.70x = 428,778.30 × 136,139.90
  4. Step 4: Simplify right side
    285,730.70x = 58,373,834,884.17
  5. Step 5: Solve for x
    x = 58,373,834,884.17/285,730.70
  6. Step 6: Final answer
    x = 204,296.69

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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.