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Finding the Fourth Proportional to 207,335.30, 311,007.82 and 74,224.76

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Solution

The fourth proportional to 207,335.30, 311,007.82 and 74,224.76 is: 111,338.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,335.30 : 311,007.82 = 74,224.76 : x
  2. Step 2: Convert to fraction form
    207,335.30/311,007.82 = 74,224.76/x
  3. Step 3: Cross multiply
    207,335.30x = 311,007.82 × 74,224.76
  4. Step 4: Simplify right side
    207,335.30x = 23,084,480,797.62
  5. Step 5: Solve for x
    x = 23,084,480,797.62/207,335.30
  6. Step 6: Final answer
    x = 111,338.88

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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.