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Finding the Fourth Proportional to 200,906.10, 301,359.15 and 76,247.10

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Solution

The fourth proportional to 200,906.10, 301,359.15 and 76,247.10 is: 114,370.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,906.10 : 301,359.15 = 76,247.10 : x
  2. Step 2: Convert to fraction form
    200,906.10/301,359.15 = 76,247.10/x
  3. Step 3: Cross multiply
    200,906.10x = 301,359.15 × 76,247.10
  4. Step 4: Simplify right side
    200,906.10x = 22,977,761,245.97
  5. Step 5: Solve for x
    x = 22,977,761,245.97/200,906.10
  6. Step 6: Final answer
    x = 114,370.65

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1.5x scale

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.