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Finding the Fourth Proportional to 200,730.80, 301,096.20 and 82,341.20

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Solution

The fourth proportional to 200,730.80, 301,096.20 and 82,341.20 is: 123,511.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,730.80 : 301,096.20 = 82,341.20 : x
  2. Step 2: Convert to fraction form
    200,730.80/301,096.20 = 82,341.20/x
  3. Step 3: Cross multiply
    200,730.80x = 301,096.20 × 82,341.20
  4. Step 4: Simplify right side
    200,730.80x = 24,792,622,423.44
  5. Step 5: Solve for x
    x = 24,792,622,423.44/200,730.80
  6. Step 6: Final answer
    x = 123,511.80

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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.